Use derivative formulas to find the derivative of the function.

Question

please show your work

h(x)=10^3-25x^6+3x^15

Answer 1

as written,

h'(x) = 0 - 150x^5 + 45x^2

If 10^3 should really be 10x^3, then modify as needed.
Just simple power rule problem.

does rely on the linearity of the derivative. That is

if h(x) = f(x) + g(x), then
h' = f' + g'