Find f if f"(x) = sin x, f'(7) = 0, and f(0) = 1.

Q: Find (f^-1)’(0) if f(x)=x+sin(2x)

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Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: find two possible functions ff given the second- or third-order derivatives f'''(x)=cosx

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Q: Is the mathematical statement correct. If f(x)=f(-x), then f’(x)=f’(-x). Explain why

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of…

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Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Find f"(x) for the function f (x): = x cOS X

A: The given function is fx=xcosxTo find f''(x)

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

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Q: If f(x) = 4x sin x cos x, find f'(x)= %3D

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Q: If f(x) = 6(sin(x))ª, find ƒ'(3).

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Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: If f'(x) = 9xe" and f(0) = -5, then f(x) =

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