The derivative of the polynomial function f(x) = c·xn
The derivative of the polynomial function f(x) = c·xn is given by f'(x) = n·c·xn-1.
I. ClearPic manufactures LCD screens. Its managers believe that it's cost structure is described well by the function TC(x) = 50 + 3x2, where x is the number of screens produced.
a. Compute the difference quotient: TC(x+h)-TC(x)/h Simplify it as much as possible.
b. Suppose that ClearPic is currently producing 20 screens and its CEO asks you how much it will cost per screen (average rate) to increase production by 10 screens. Use your answer from part (a) to answer the question.
Homework Answers
Find the derivative of the function. F(x) = x – 5x V x √x (a) Simplify...
Find the derivative of the function. F(x) = x – 5x V x √x (a) Simplify the function to the point where you will not need the Product or Quotient Rule (b) Use the part a), find the derivative of the function. F'(x) =
OGRAPHS AND FUNCTIONS Finding a difference quotient for a linear or quadratic function f(x+h)-f(x) Find the...
OGRAPHS AND FUNCTIONS Finding a difference quotient for a linear or quadratic function f(x+h)-f(x) Find the difference quotient h where h#0, for the function below. F f(x) = -372 -4x+9 Simplify your answer as much as possible. $(x + n) - f(x) h I
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) =...
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
f(x+h)-f() Find the difference quotient h where h# 0, for the function below. F f(x) =...
f(x+h)-f() Find the difference quotient h where h# 0, for the function below. F f(x) = 2x² + 2x Simplify your answer as much as possible. h G х ?
f(x+h)-f(x) Find the difference quotient h where h = 0, for the function below. f(x) =...
f(x+h)-f(x) Find the difference quotient h where h = 0, for the function below. f(x) = 2x-3 Simplify your answer as much as possible. f(x + n) - f(x) h Х $ ?
Thank you. - Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate...
Thank you.
- Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product...
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = x (x + 1) F"(x) = Submit Answer 2. [-/1 Points] DETAILS BERRAPCALCBR7 2.4.017. Find the derivative of the function by using the Product Rule. Simplify your answer. F(X) = (7x + 4)(1 = x) f'(x) = 3. [-/1 Points) DETAILS BERRAPCALCBR7 2.4.035. Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x)...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
python the polynomial equation is Ax^3+Bx^2+Cx+D b) Evaluating a polynomial derivative numerically For a function f(x),...
python
the
polynomial equation is Ax^3+Bx^2+Cx+D
b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using...
5. (10 points) Let f(x) = -(9x² +6x+2). Then according to the definition of derivative f'(x)...
5. (10 points) Let f(x) = -(9x² +6x+2). Then according to the definition of derivative f'(x) = lim h0 (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ar because it is easier to type) We can cancel the common factor — from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 6. (10 points) Let f(x) = x3...
Find the derivative of the function. F(x) = x – 5x V x √x (a) Simplify the function to the point where you will not need the Product or Quotient Rule (b) Use the part a), find the derivative of the function. F'(x) =
OGRAPHS AND FUNCTIONS Finding a difference quotient for a linear or quadratic function f(x+h)-f(x) Find the difference quotient h where h#0, for the function below. F f(x) = -372 -4x+9 Simplify your answer as much as possible. $(x + n) - f(x) h I
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
f(x+h)-f() Find the difference quotient h where h# 0, for the function below. F f(x) = 2x² + 2x Simplify your answer as much as possible. h G х ?
f(x+h)-f(x) Find the difference quotient h where h = 0, for the function below. f(x) = 2x-3 Simplify your answer as much as possible. f(x + n) - f(x) h Х $ ?
Thank you.
- Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = x (x + 1) F"(x) = Submit Answer 2. [-/1 Points] DETAILS BERRAPCALCBR7 2.4.017. Find the derivative of the function by using the Product Rule. Simplify your answer. F(X) = (7x + 4)(1 = x) f'(x) = 3. [-/1 Points) DETAILS BERRAPCALCBR7 2.4.035. Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x)...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
python
the
polynomial equation is Ax^3+Bx^2+Cx+D
b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using...
5. (10 points) Let f(x) = -(9x² +6x+2). Then according to the definition of derivative f'(x) = lim h0 (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ar because it is easier to type) We can cancel the common factor — from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 6. (10 points) Let f(x) = x3...
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