Use the table of function values to evaluate 1 2 X f(x) f'(x) 1 g(x) 6 g'(x) 3 2 3 1 4 -5 d f(x) dx g(x) 3 -2 4 2 -3 at x = 2 4 5 1 4 7

Q: If f(x) = (x + 1)²(x+2), find f'(0)

A:

Q: If f x = x3 - x ,find  f '''  and f 4 x

A: We first find the 1st and 2nd derivatives.

Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: The inverse of the function f() = 3+ 9x is f '(1): O-3 O(@ 3) 9. Ox-9 O (r-9) 3

A:

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: f(x) = 2 sec (-) + 1 2

A:

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

A:

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: For the function, find the following. f(x) = x4 − 6x3 − 7x2 + 4x − 6 (a) f '(x) (b) f…

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

Q: Differentiate the function f(x) = 8sinx - 3cosx. Answer f'(x) =

A:

Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: If f(x) = find f"(x)

A: We first find the first derivative using the quotient rule