Mathematics - Differentiation 'product rule' Problem

Question

hi, I am struggling with a maths question, it is differentiation using the product rule however I cannot solve this. Please complete this problem for me with step by step in the answer and I will paypal you £10 if you leave your email attached. Thanks

The displace, s, of a particle is given by:

Calculate the values for initial velocity and initial acceleration.

Answer 1

I'll do the first one you do the 2nd.

You are looking for the first derivative of te^-t/4

which is te^-t/4(-1/4) + e^-t/4 = e^-t/4[(-t/4) +1]

The product rule is d(uv)/dx = u dv/dx + v du/dx.