Some formula:
,
where c is a constant
Now slope of f(x) =
Using the above formula we get,
Putting x = 7, we get slope of f(x) = 70 (Ans)
**If any doubt please comment
X Try using the shortcut for the derivative of a polynomial and then substitute the value...
Try using the shortcut for the derivative of a polynomial f(x)=2 If ,then what is the derivative of nx) with respect to x?
(4) Use the definition of derivative (not any shortcut formulas) to find the derivative of the following function: f(x) = x2 + 8x +9
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...
Question 8 X Take the derivative of the function, set it equal to zero, solve for the variable by factoring and using the Zero-Product Rule, and substitute the values of the variable into the function, If (x) = -x+9x-8, then what is the maximum value of f(x)? 4.50 maximum value= The number of significant digits is set to 3; the tolerance is +/-2%
2. Given f(x) = find the derivative using the definition of derivative. 3. Find A and B given that the function, f(x), is continuous at x = 6. V | f(x) = {B (Ar - 42 > 6 4. Find the slope of the tangent line to the curve 2.2 - 2xy + 3y2 = 10 at the point (1,2).
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...
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).
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
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...
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)