z(x) 1+x² You need to find the formula for y'(x) first, then evaluate y'(x) at x = (c) Let y(x) = = and z(−3) = 6, z′(−3) = 15. Find y'(-3). Remember: -3.

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: F(x)= 7/(x+9) find the inverse

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Q: Find  f ′(a)  f(x) = 2x4,    a = −1

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Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

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Q: (2,-4) (0,-6) Assuming that f(x) is of the form A. Ba, write an expression for f(x): f(x) = 0

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Q: If (f • g) (+₂) = O x-2 2x-4 x+5 and f(x) = 32, find g(x). x-2'

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Q: r(x)= 9/x-3 r(8)

A: Given:

Q: The line L₁ passes through the point P(-5, -3) and it is tangent to the graph of y = (x+3)27. The…

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Q: q (x)=3x-2 r(x)=4x-4 Find the following. (ar) (-3) = [] (roq) (-3) = 7 are demned as TOHOWS. X 9/0 S

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Q: y=−x/3+4/3  the xx intercept = (   ,0) yy intercept = (0,)   The slope =

A: Given the equation of line  y = -x/3 + 4/3  we need to find xx intercept , yy intercept and slope of…

Q: For fx) = 2x -8x 5 find the following (A) I'(x) (B) The slope of the graph of f at x = -2 (C) The…

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Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

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Q: f(x)=x2(6+x)5. ​Find f′(x)using the Quotient Rule and the Extended Power Rule.

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Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

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Q: d Use the Product Rule to find the derivative [(x + 3)(3x + 8)]. dx Answer

A: Explanation of the answer is as follows

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: Let ​f(x)=4x−​1, ​h(x)=−x−4.   Find ​(f◦​h)(4​)=

A: f(x)= 4x-1 h(x)= -x-4 (f o h)= f(h(x))