if f(x) = gh(x), give f’(x).
f’(x) = g’h(x) x h’(x)
if f(x) = g(x) x h(x), give f’(x).
f’(x) = g(x) x h’(x) + h(x) x g’(x)
if f(x) = ln x, give f’(x).
f’(x) = 1 / x
if f(x) = e^x, give f’(x).
f’(x) = f(x) = e^x
if f(x) = a^x, give f’(x), showing how you got that result.
f(x) = a^x = e^(xln a).
∴ f’(x) = ln a x e^(xln a) = ln a x a^x
∴ f’(x) = ln a x a^x