(a) State precisely the definition of: a function f is differentiable at a ∈ R.(adsbygoogle = window.adsbygoogle || []).push({});

(b) Prove that, if f is differentiable at a, then f is continuous at a. You may

assume that

f '(a) = lim {f(x) - f(a)}/(x - a)

x→a

(c) Assume that a function f is differentiable at each x∈ R and also f(x) > 0

for all x ∈R. Use the definition of the derivative and standard limit laws to

calculate the derivative of:

g(x) = (f(x))^0.25

in terms of f(x) and f '(x).

I did part a n b . But stuck at part c , can any1 guide me on part (c)?thank you

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# Differentiable

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