Differentiate y = lnx + 4x^2 + 3e^4x with respect to x

lnx differentiates to 1/x

4x^2 differentiates to 8x

3e^4x differentiates to 12e^4x

therefore the answer is: 1/x + 8x + 12e^4x

DS
Answered by Dhylon S. Maths tutor

4140 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the binomial expansion of (4-8x)^(-3/2) in ascending powers of x, up to and including the term in x^3. Give each coefficient as a fraction in its simplest form. For what range of x is a binomial expansion valid?


Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)


Find the area bounded by the curve y=(sin(x))^2 and the x-axis, between the points x=0 and x=pi/2


Find the gradient of the function f(x,y)=x^3 + y^3 -3xy at the point (2,1), given that f(2,1) = 6.


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