Using the product rule, differentiate y=(2x)(e^3x)

The product rule states that if y=uv, where u and v are both functions of x, then dy/dx = u(dv/dx) + v(du/dx)Therefore, the differential of 2xe3x can be found by letting 2x=u and e3x =v.u=2x,du/dx = 2
v=e3xdv/dx = 3e3x
dy/dx = u(dv/dx) + v(du/dx)dy/dx = 2x(3e3x) + e3x(2)dy/dx = 6xe3x + 2e3xdy/dx = 2e3x(3x+1)

CO
Answered by Christy O. Maths tutor

6241 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

if f is defined on with f(x)=x^2-2x-24(x)^0.5 for x>=0 a) find 1st derivative of f, b) find second derivative of f, c) Verify that function f has a stationary point when x = 4 (c) Determine the type stationary point.


Using Trigonometric Identities prove that [(tan^2x)(cosecx)]/sinx=sec^2x


Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)


Find the values of x that satisfy the following inequality 3x – 7 > 3 – x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning