Question

Find the derivative of the function.
g(x) = 4^x

Answer 1

ln(4)*4^x

Answer 2

f(x) = (7x^2 − x)ln x ?
can you show steps?

Answer 3

For the first one, a function of the form a^x has the derivative ln(a) a^x, I don't remember the proof.
For the second one: Use the product rule(f*g)' = f'*g+f*g'
The derivative of the first part(7x^2-x) is 14x-1
The derivative of the second part(ln(x)) is 1/x
So the derivative of the whole thing is (14x-1)(ln(x))+(7x^2-x)(1/x)