What method should I use to differentiate equations with an x as the power of a number. E.g. 2^x

Take the log of both sidesln(y) = ln(2^x)This can be re-written as:ln(y) = ln(2)*xTake the exponent of both sidese^ln(y) = e^(ln(2)*x)Which gives:y = e^(ln(2)*x)Since ln(2) is a constant, apply the usual method when differentiating e^nxdy/dx = ln(2)*e^(ln(2)*x)From the question y=2^x which we re-wrote as e^(ln(2)*x) so substitute in giving he final answer:dy/dx = ln(2)*2^x

BT
Answered by Billy T. Maths tutor

3484 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the derivative of f(x)=x^2*e^x+x


y = 4x^3 - 5/x^2 Find dy/dx


Differentiate The Following function


Calculate (7-i*sqrt(6))*(13+i*sqrt(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:

© 2026 by IXL Learning