Find the inverse function of finformally. x- 8 f(x) = f(x) = Verify that f(f-(x)) = x and f-1(f(x)) = = X. f(f-1(x)) = 8. = X f-(f(x)) = f- ++ 6.

Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: Find the derivative of f (x) = (x3 - 10x2 + 8 )(x5 - 5x).

A: Given f (x) = (x3 - 10x2 + 8 )(x5 - 5x).

Q: f(x)=(6x¹-2x+1)

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Q: Find the derivative of the algebraic function H)x) = (x6 - 5)(x3 + 3).

A: Given that : H(x) = (x6 -5)(x3 +3). We find derivative of this algebraic function. We know that…

Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: Use the derivative to determine whether the function is strictly monotonic on its entire domain and…

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Q: Find the derivative of the function. f(x) = 5x3 - 7x² + x %3D

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Q: Find the derivative of f(x)=2x9−x4+5

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Q: 4. Find the inverse function of fx) = 25-x2,0Sx 5 1 а. 0sxS5 25-x2 b. x)x+5, - 5sx35 с. f(x)= x2-…

A: The given function is

Q: Find derivative of f(x) = (x^3-6)(x+5)

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Q: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

Q: Find derivative of f(x) = x^3-5x^2+6x-7

A: The given function is f(x)=x3-5x2+6x-7. To find the derivative of the given function, apply the…

Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: Find the derivative of the algebraic function. f(x) = (2x3 + 5x)(x − 3)(x + 2)

A: Given function is f(x) = (2x3 + 5x)(x − 3)(x + 2). Simplify the function.…

Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

A: he derivative to determine whether the function is strictly monotonic on its entire domain and…

Q: Find the derivative of the function. f(x) = (2x − 2)4(x2 + x + 1)5

A: Important Points: [ A(x) B(x) ]' = A(x) B'(x)  +  A'(x) B(x)  [ xn ]' = n xn-1

Q: find the derivative of f(x)=((x2+4) / (x2- 4))3

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Q: Find the derivative of f(x) = -5x-6. Do not include "f'(x) = " in your answer. For example, if your…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

A: f(x)=x3-6x2+12x

Q: find the derivative function of f(x)=x³+4x²-5

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Q: F(x) = (x^3 - 8)(4x^2+2x)

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Q: Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0<x<2, at the point (-3,1)…

A: To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1), where (-3,1)…

Q: Find the derivative of  f(x) = (x^2+5)(x-6)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the first and second derivatives of the function. f(x) = x5 − x4 + 7x3 − 8x2 + 4x − 15 f '(x)…

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Q: Find the derivative of the function. F(x)=x^3-6/x^2+5

A: GivenFx=x3-6x2+5We have to find the derivative of the function .Rule apply :-Quotient rule…

Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

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Q: Find the derivative of the function f(x)= x5 - 9/x4

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: The product rule states that if h(x) = f(x)g(x) then h'(x) = f'(x)g(x) + f(x)g'(x).  In other words…

A: 1) 3 is a constant, it does not depend on x, so we can take 3 out and then apply power rule on just…

Q: If f(x) = (2x) , find the derivative of the function Or) = f'(x) = 3(x)0.5 f'(x) = -(x)0.5 f'(x) =…

A: 1)f(x)=(2x) -0.5 2)f(x)=(1+sinx)/(x+cosx).

Q: Find the derivative of the function g(x)=∫3x2xu2−3u2+3du.

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Q: Compute the derivatives of the given function. f(x) = (2x+3x-)(2x²-3x-) a -444 Find the first…

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Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2)…

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Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

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Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

A: To sketch the graph of the function f(x) and determine the value of the derivative of inverse of the…

Q: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…

Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1  Or you can write it as fx=1-2x2

Q: Find derivative of f(x) = x^4+8x-2

A: We have to find the derivative of  f(x) = x4 + 8x - 2 We know that if  f(x) = xn then  f'(x) = nxn-1…

Q: Find the derivative of the function. 3 - 4x – x2 x² f(x) x² - 5

A: Topic-differentiation

Q: Use the derivative to determine whether the function is strictly monotonic on its entire domain and…

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Q: 3 f(x) = (x³ – 8)4 f'(x) :

A: Use Chain Rule with other some basic identities.