Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: 1 Use the power rule to find the derivative of f(x) = Vx 15 f'(x) = %3D

A:

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

A:

Q: Find the derivative of the function. 5 F(x) 1 + 4x + x3 F'(x) :

A:

Q: What is the second derivative of f(x)=6x^4 at the point x=−2?

A:

Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: ind the derivative of f(x) = 2x/√x+1

A: Explanation:Given that  f(x)=2xx+1     Formula Used:fg'=f'g-fg'g2

Q: By using the second derivative test for functions of two variables, find three positive numbers…

A:

Q: 3. Calculate the derivative of f (x) = x2 +1 showing all your work.

A: Using the formula u by v = vd/DX(u)-u d/DX(v)/v^2 According to the bartleby guidelines I can  solve…

Q: Find the derivative of the function:  f(x)=x^2lnx

A: consider the given function:

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

A:

Q: How to find the critical points of this derivative

A: We have to find critical point of f(x),where f'(x) is given by:

Q: Find the derivative using the Four-step rule f(x)=x/1-x

A:

Q: what is the differentiate of f(x)=ln x

A:

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: Find the derivative of f(x)= xtan(x)

A:

Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: What is the second derivative of f(x)=x^2lnx

A:

Q: find the derivative of f (x) at the designated value of x. f (x) = x5 at x = 3/2

A: Given function is: fx=x5 We have to find the derivative of f(x) at x=32. Then we get,…

Q: Find the derivative of f(x) = (x2-ex) tan x

A:

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the 1600th derivative of f(x) = xe¯X. f(1600)(x)

A: The given function is fx=xe-x. Observe that,…

Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

A:

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: Find the second derivative of f(x)=x^-2 when x=4

A:

Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: f(x)=2x^{2x}  f'(x): ? Please find first derivative

A:

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

A:

Q: f(x) = 3 sin 1 (x²)

A:

Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

A:

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: the derivative of f(x) = xi at the point x = 4?

A:

Q: By using first principle, show that the derivative of f(x)=- is x+1 1 S'(x) = (x+1)

A:

Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

A:

Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

A:

Q: Solve the derivative of f(x)=−1/√5 x.

A: we have to find the derivative. f(x)=-15x