If f'(x) = 2x O x² - In(x) O x² + 1 x² - In(1x1) O x² and f(-1) = 1, find f(x). In(x) + 1

Q: Verify that f'(x) = 18x² – 9, where f(x) = 6x³ – 9x – 9.

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Q: Find df/ dx of  f(x)=(x2-1)(x3+3x2/x2+2)

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

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Q: Let f(x) = (x³ + 3x + 7)3 f'(x) = f'(4) =

A: According to question given thatf(x)=(x3+3x+7)3

Q: If f( x) = x² , what is f'(x)?

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Q: Let z +1 f(x) x + 10 f'(- 7) =

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Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (x).

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Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

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Q: Let x + 4 f(x) x + 9 f '(- 1) =

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Q: then compute f'(4). f(x) = x³ + 2x² x√x

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Q: Find (f-¹)'(a). (f-¹)'(a) = f(x) = 4x³+4x² + 5x+7, a = 7

A: I have appended the formula used in the solution part of the question

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: Let 1 + 1 f(x) = 9x - 2/x + 4x + %3D Find f' (1). Enter your answer as an INTEGER: f'(1) =

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Q: For the function f(x) = In (x + 3), find f"(x), f'"(0), f''(2), and f"(- 4). 1 f"(x) = (x + 3)2 (Use…

A: Given function     f(x) = ln(x+3)

Q: Find f    if  f'(x) = 7x9 − 5 √x + 3 sin x,   f(0) = 4

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Q: Let ƒ(x) = (7x² − 7)¹ (6x² − 3)⁹ - Find f'(x) = do not oxpand an

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Q: f (x) = 3r³ – 9x² 1 + x +3 j(x) = x + 7x + 9 Determine p'(x) given p(x) = f(x)j(x). Please don't…

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: f(x) = In (1+x³)

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Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Differentiate f(x) = 4log 3(x)- In (x)

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

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Q: Let f(x) -4 - 8x Va + f'(x) =

A: Solved below

Q: If f(x)=√√√x² - 4x + 19, then what is f'(1) ?

A: Given query is to find the indicated derivative.