Question

Differentiate x⁶ with respect to x⁴​

Answer 1

f(x⁴)=x⁶=(x⁴)^3/2

Put x⁴=t

f(t)=t^3/2

f'(t)=d/dt(t^3/2)

f'(t)=3/2(t^1/2)

f'(x⁴)=(3/2).(x⁴)^1/2

f'(x⁴)=(3/2).(x²)