Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

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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: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

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

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Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: X-3

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Q: Find the derivative of f(x) = 10/x

A: We can find the derivative as below

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

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Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: Find the derivative of f(x)=x tan x- cSc x.

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Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

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

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Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: What is the derivative of a constant function?

A: The derivative of constant function is always zero.

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

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Q: Find the derivative f(x)= Inlex+9)

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

Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

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Q: calculate the 21st derivative of function f(x) = 20-x

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

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Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given…

Q: Find the derivative of f (x) = -4 tan (x).

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

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

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

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: 1-x3+2Vx f (x) =

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Q: Find the first derivative of f (x) = 2* 2*

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Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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

A: The given function is fx=13x

Q: Estimate the derivative of the function f (x) = - 3 at the point x = 3. 5 5

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Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

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

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Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

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

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Q: If y=Inx-x, then second derivative (y ) is-

A: The given function is y=lnx-x4. Evaluate the derivative of the function as follows.…

Q: State the second-derivative test for functions of two variables.

A: State the second - derivative test for functions of two variable.

Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: f(x) = 7xe

A: We can find the answer as below.

Q: Find the 2nd derivative of f(x) = √2x-x²

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Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

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

A: