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

For this question the chain rule should be used, the chain rule is that dy/du*du/dx=dy/dx.

If we say u=(x2+2x) and therefore y=eu

Then du/dx=2x+2 and dy/du=eu.

Then dy/du*du/dx= (2x+2)eu, then we can sub u back into the answer to obtain dy/dx=(2x+2)e(x^2+2)

DF

Related Maths A Level answers

All answers ▸

Find f(x^(1/2)+4)dx (Where f is the integral sign)


Curves C1 and C2 have equations y= ln(4x-7)+18 and y= a(x^2 +b)^1/2 respectively, where a and b are positive constants. The point P lies on both curves and has x-coordinate 2. It is given that the gradient of C1 at P is equal to the gradient of C2 at P.


Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]


How to solve pully type questions in mechanics