Question

Can someone demonstrate or explain how to differentiate the following function by using the product rule?
f(x)=(2x^2-3)(x^2+5)

Answer 1

I differentiated by multiplying first and got 8x^3+14x

Answer 2

But I am not sure how to use the product rule.

Answer 3

f(x)=u(x)+v(x)
f'(x)=u'(x)v(x)+u(x)v'(x)
u(x)=2x^2-3
u'(x)=4x
v(x)=x^2+5
v'(x)=2x

f'(x)=4x*(x^2+5)+(2x^2-3)*2x
f'(x)= ...............