For the function f(x) = 2e", calculate the following function values: f(- 3) = f(- 1) = f(0) =

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

A:

Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

A:

Q: Find the derivative of the function. f(x) = ((x2 + 3)5 + x)2

A: We use the power rule and chain rule.

Q: Find the derivative of the function.

A: fx=x3-2x+3x-3

Q: find the derivative f(x) = xππx

A: The given function is

Q: For the function f(x)=2x^3-12x^2+20, Use the SECOND DERIVATIVE TEST to find the relative extrema.

A:

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

A:

Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

A:

Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: use the definition of the derivative to find f'(x). f(x)=1/x2

A: We need to evaluate the derivative of the following function f(x) = 1x2

Q: Find an equation for the line tangent to f(x)=x3 +3x2 -2x-8, at the point where x=1

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator…

Q: Calculate the derivative. f (x) = x 2e2

A:

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

A:

Q: p(4)(x) = (x² + 9)² f(6)(x) =

A: Given: f""(x)=(x^2+9)^2

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

A:

Q: compute the derivative f (x) = 7−2x

A:

Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: Find the derivative of the function f(x) = 8x2 – 13x by the definition of derivatives f(x + h) –…

A: on using this formula we get = 16x-13

Q: Find the derivative of the function.

A: We use the quotient rule

Q: Find the indicated derivative and simplify. 21x f'(x) for f(x) = x2 - 2 f'(x) =

A: f(x)=21x3x2-2 Note:   Multiple questions are given we are answer with only one question.

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: Find the derivative of the function. f(x)= (x2+6/x)5

A:

Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Find the derivative of the function. f(x) = (x3 + 7x + 5)(3 +1/x2)

A: To determine: Find the derivative of the function.

Q: Find the derivative. f(x)x (2x+1)

A:

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

A:

Q: Find the derivative of the function. f(x) = x(2x − 5)3

A: the given function is: f(x)=x2x-53 we have to find the derivative of the given function.   as we…

Q: For the implicitly-defined function, calculate the derivative with respect to x. + y74 = -6y ,3/4

A:

Q: Given the function F(x)= 1/x2 - Use the definition of the derivative to find f'(2)

A:

Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power…

Q: Find the indicated derivative. f'(x) for f(x) = x + 4)(x – 5) x² + 9 f'(x)

A: Consider the given function, fx=x+4x-5x2+9 First, simplify the denominator as follows,…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: Find the derivative of f(x) = x ^2at x = 3.

A:

Q: Find the derivative. f(x) = 8/2x + 9 f'(x) =

A:

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

A:

Q: x² – 4y² = 5; y"

A:

Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Find the Derivative f(x) = X3In x

A: The derivative of f(x)=X3lnx ddx(x3lnx)Apply product…

Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

A:

Q: Find the derivative of the function f(x) = (2+8)2 8a2+15

A: To find: The derivative of the given function f(x).

Q: Find the derivative. F'(x) if F(x)= (ex¹ +5) 3 F'(x)=

A:

Q: Use the second derivative   f''(x)=x(x−1)(x−3)^2 to determine where the inflection points of f(x)…

A:

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x