Can you give an example of using the chain rule for differentiation? Example: Let y=(6 + 2x + 2x^2)^3, find dy/dx.
The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x2then, y=u3 thus, dy/dx=(3u2)(2+4x) = (3(6+2x+2x2)2)(2+4x). Example does not ask to simplify expression or evaluate at any particular value of x, so we have found the solution! There are some formatting issues here that will not be an issue with a whiteboard
AH
Related Maths A Level answers
All answers ▸A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.
Solve the differential equation: dy/dx = tan^3(x)sec^2(x)
Find the equation of the tangent for x = 2cos (2y +pi)
Find the first three terms in the expansion of (4-x)^(-1/2) in ascending powers of x.