Question

Differentiate q(t) = t^3ln(t^5)

Answer 1

Answer:

$\frac{dq}{dt} = \frac{dt ^{3} . ln(t ^{5} ) }{dt} \\ = t ^{3} \frac{d ln(t ^{5} ) }{dt} + ln(t ^{5} ) \frac{dt ^{3} }{dt} \\ = t ^{3} \frac{1}{t ^{5} } \times 5 t ^{4} + ln(t )^{5} \times 3 \times t ^{2} \\ 5t ^{2} + 3t ^{2} ln(t ^{5} )$

or t²(5+3ln(t5))

hope this will help you