Find the derivative, f prime of x for f(x) = x^5 ln x

Answer 1

Use product rule of differentiation,

(f(x)*g(x)) = f^'(x)*g(x) + g^'(x) f(x)

f'(x) = 5x⁴ln(x) + x⁵(1/x)

f'(x) = 5x⁴ ln(x) + x⁴

you can further simplify it.

f'(x) = x⁴(5ln(x) + 1)

I hope this helps. If you have any question, please let me know