Differentiate y=(x^2+1)(e^-x)

Here, we're using the product rule (and the chain rule for the e-x): y=(x2+1)(e-x) dy/dx=(2x)(e-x)+(x2+1)(-1)(e-x) Then we simplify to get: dy/dx=(e-x)(2x-x2-1)

RD

Related Maths A Level answers

All answers ▸

A curve C has equation y = x^2 − 2x − 24 x^(1/2), x > 0 (a) Find (i) dy/d x (ii) d^2y/dx^2 (b) Verify that C has a stationary point when x = 4 (c) Determine the nature of this stationary point, giving a reason for your answer.


How do you intergrate basic algebra?


A curve has equation y = 7 - 2x^5. a) Find dy/dx. b) Find an equation for the tangent to the curve at the point where x=1.


Integrate Cos^2(x)