Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

Q: 4 find f'(3). x2 If f(x) =

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Q: Find the derivative of the function f(x) = 10" + 10 · 9ª. f'(x) =

A: Using Derivative rule of Exponential,

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

A:

Q: Calculate the derivative of the function. f'(x)= f(x) = 5x + x²

A: The given function is; f(x)= sqrt(5x+x2).

Q: Find the derivative of the function. y = (5x - 1)4(8x² - 1)-3 y' = 20(5x−1)3 (8x² - 1)³ 48(5x−1)4…

A:

Q: Find the derivative of the function h(w) = -7w¯4 +6/w. %3D h'(w) :

A: The function is  h(w) =-7w-4+6w. We know that derivative of wn, i.e., dwndw = nwn-1.

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

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Q: Find a function f that has the derivative f′(x) and whose graph passes through the given point.…

A: Given: f'(x)=2x  At (1,0)

Q: Find the derivative of the function F(x) = Answer - 4(7+2√x)-³. F'(x) =

A:

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

A:

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

A: f'(x)=-2x8-x2;(2,8)