1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a...

1:

Given that f(4) = 6 and f'(x) = 2/x²+9 for all x.

a) Use a linear approximation or differentials to estimate f(4.04)

b) Is your estimate in part (a) too large or too small? Explain.

2:

a) Given f(x) = (x + 3)^sinx, find f'(π) using logarithmic differentiation.

b) Find the value of h'(0) if h(x)+xsin(h(x))= x²+4x-π/2

Expert Solution

milcah answered 2 years ago

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