f(x) = ln5 + e^{25x} - e^{3} +(7)/(cubed root of x) - 6
f'(x) = (1)/(5) + e^{25x} (25) - e^{3} - (7)/(3)(cubed root of x^4)
is this correct?
It's a bit wrong.
It should be
$$f'(x) = e^{25x} (25) -\dfrac{7}{3x\sqrt[3]{x}}$$
$e^3$ and $\ln5$ should be removed as they are constants.
and $f(x)=\dfrac{(7)}{\sqrt[3]{x}}\\f'(x)=\dfrac{-7}{3x^{4/3}}$