Find the derivation of (sinx)(e^2x)

Because there are two forms of x , the form uv'+vu' must be used.

If y=sinx , dy/dx=cosx 

If y=e^kx , dy/dx=ke^kx

Therefore dy/dx=(sinx)(2e^2x)+(e^2x)(cosx)

EB

Related Maths A Level answers

All answers ▸

Integration by parts: Integrate the expression x.ln(x) between 1 and 2.


How do you solve simultaneous questions?


Let C : x^2-4x+2k be a parabola, with vertex m. By taking derivatives or otherwise discuss, as k varies, the coordinates of m and, accordingly, the number of solutions of the equation x^2-4x+2k=0. Illustrate your work with graphs


A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates where the line crosses the x and y axes