f(x) = x² +7' f'(x) = 14x (x²+7)²

Q: Let f'(x) = f(x) = = 4x √8 - 6x

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: S)-(4r' -2r² +3x)(A+--3) Find f"(x).

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Q: If 29 + f(x) + 7x²(f(x))³ = 0 and f(-2) = -1, find f'(-2). f'(-2) =

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Q: f(x) = (6x – 4)* - (4x² + 5)³. f'(x) =

A: Using product rule and chain rule of derivative,

Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Find (f ¹)'(a). (F-¹)(a) = f(x) = 4x³ + 3x² + 5x + 9, - 3x² + 5x+9, a=9

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: if g(x)=3x+4 determine n such that g(-3)=g^-1(n)

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Q: If f(x) = (2x-1)^6 (x+3)^5, then f'(0)=

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Q: Find f(x). -12x-3 f(x) = 3x - 12x 413 f''(x) =

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Q: f(x) = x2 + 2x + ( 9 divided by x) a.) Find f '(x).

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Q: Let f(x) = (2x²+6) (-8x²+2) 15 f'(x) =

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Q: F(x)=2/3•2^-6x+5

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Q: Find the slope of f (x) = ln⁡(3x^2+8)/(-2)  at (2,−1.50).

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Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

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Q: If f'(x) = 5x* – 3x2 + 4 and f(-1) = 2, then find f (x).

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Q: If 31 + 3f(x) + 7a (f(x))° = 0 and f(-2) = –1, find f'(-2). f'(-2) =

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Q: f(x)=−6indexroot3√x−1/x^8 find f'(x)=

A: Given,           fx=-6x3-1x8

Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: find f'(x) for f(x)= (2x-1)4 (3-x5)4

A: f(x)= (2x-1)4 (3-x5)4Let (2x - 1) = u and (3-x5) = vHence, du/dx = 2 and dv/dx = -5x4Also, f = u4v4…

Q: f(x)=(x+5/x+6)^5 f′(x) =

A: Derivative of function