Find the linear approximation at x = 0 to each of f(x) (x + 1)?, g(x) = 1+ sin(2x) and h(x)= e2*. Compare your results.

Q: Find g(1) if g(x)=x^2+1

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Q: Find f-1(x) f(x)=(ex+1)/(2-ex)

A: To find the inverse of the given function

Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

Q: Find f(x)

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Q: f'(x) = 6Vx ; f(1) = 7,

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Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: f(x) f'(x) x100

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Q: f(x) = (-8x²9)³(-9x²-4)-12

A: we will find the required.

Q: Find f-1(x) f(x)=x2ln9x

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Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: f^-1(x) for f(x)=5+12(x)

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Q: Find f”(x) for the function f(x)= -4x^2-4x-9

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Q: Find f"(x) for the equation f(x)=x6(x2-1)3

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Q: f'(x)= Let f(x) (5x2-8)7 (7x²+7) 15 =

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Q: 128. f(a – h) for f(x) = 1 – 4x – x² %3D

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