LET F(x) = f(x8) AND G(x)=(f(x)) 8 F(a) = 3 F'a = 7 F' (a 8) = 4 a 7 = 11 FIND F' (a) = 7 AND G' (a) = FIND 4x-5 d/ x (y) = 1/4x (+x-5) 20 (4x-5)2

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

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Q: If f (x) = Vsin¬1 (2x²) , then f' (x) = (sin¯"(2z²))*-/1–4z“ True False

A:

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

A: Using product rule and chain rule of derivative,

Q: Find ƒ(x) if ƒ'(x) = 3x² - 4x + 4 and ƒ( − 1) – – 4. ƒ(x)

A: F

Q: If f'(x)=7x x-4 and f(4)= - 5, then what is f(5)?

A:

Q: Find f(x) if f' (x) = x5 - 7 divided by x5 , and f(2) =4

A: Given, f'(x)=x5-7 divided by x5and f(2)=4f'(x)=x5-7x5f'(x)=1-7x5—(1)

Q: If f'(x) = 2x + 4 and f(0) = 2, then determine f (x). %3D %3D

A: Consider the given information f'x=2x+4 and f0=2. Integrate the function f'x=2x+4 with respect to x…

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

A:

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: f"(x) = 6x – 2 | and f' (-2) = 3 and f(-2) = 6. Find f' (x) = and find f(4) =

A:

Q: IF F"(X)=12X^2+24X-6 ,  F'(1)=10,   F(2)=20 , determine the function f.

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Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: Find f'(x) if f(æ) = (x³ + 2x – 5)(3x-3+x-4).

A:

Q: 4x + 2x - If f(x) = | find f'(x) x4

A: Given that, f(x) = (- 4x5 - 4x4 + 2x3) / x4 And we have to calculative the first derivative of the…

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: Find f such that f'(x) = 2x² + 7x-4 and f(0) = 7. f(x) = ...

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Q: Evaluate the integral. 4 1 dx 2x Ji

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: If f'(x) = 3x + 2x and f(2) = 3, then f(1) = %3D (А) —10 (B) -7 (C) 10 - (D) 13

A: We have given f'(x) and f(2) =3 .  We have to find the value of f(1)

Q: f(x)= if'(-3)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: Find f such that f'(x) = 5x² + 7x − 9 and f(0) = 9. f(x) =

A:

Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

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Q: 7x2 + 8x + 6 If f(x) then: f'(x) = f'(4) =

A:

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

A:

Q: x=cos¬! 1 prove that sec" X= cos

A: Given sec-1x=cos-11x

Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: Suppose that f(x)=16e^x+18ln(x)Find f′(3)f′(3). f′(3)f′(3) =

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Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: Find f such that f'(x) = 2x² + 9x - 8 and f(0) = 9.

A: