Try using the shortcut for the derivative of a polynomial f(x)=2 If ,then what is the...
X Try using the shortcut for the derivative of a polynomial and then substitute the value of the variable. If f(x) = 5x2 +4, then what is the slope of f(x) at x-77
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...
(4) Use the definition of derivative (not any shortcut formulas) to find the derivative of the following function: f(x) = x2 + 8x +9
n If f(x) = Σ a;x' is a polynomial in R[x], recall the derivative f'(x) is a polynomial as well i=0 (we'll talk more about the fact that derivatives are linear, in chapter 3). Recall I write R[x]n for the polynomials of degree < N. Let P(x) = aixº be degree N, N i=0 a.k.a. assume an # 0. Show that the derivatives P(x), P'(x), ...,P(N)(x) form a basis of R[x]n (where p(N) means the Nth derivative of P).
Consider the polynomial
f(x,y)=ax^2+bxy+cy^2 (without using second derivative test) by
identifying the graph as a paraboloid.
***Graph at least 9 DIFFERENT
polynomials.
Show graphs to accompany actual
working. Would appreciate it dearly.
Quadratic Approximations and Critical Points Consider the polynomial f(x,y)+ ry+ c (without using the Second Derivative Tet) by identifying the graph as a paraboloid. 1. Graph f(x, y) for at least 9 different polynomials. (Specific choices of a, b and c.)
Quadratic Approximations and Critical Points Consider the...
using matlab
3. [1:2] Find a root (value of x for which f(x)-0) of f(x) = a x^3 + bx^2 + c x + d using Newton's interation: xnew = x -f(x)/(x). Note that f'(x) is the first derivative off with respect to x. Then x=xnew. Start with x=0 and iterate until f(xnew) < 1.0-4. Use values (a,b,c,d]=[-0.02, 0.09, -1.1, 3.2). Plot the polynomial vs x in the range (-10 10). Mark the zero point.
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...
f(x +h)-f(x) 2. Calculate the derivative of the function using Then find the value of the derivative as specified. f'(x) = lim ho 8 f(x) = *+27 (0)
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...
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...