How do you differentiate using the chain rule?

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx.

It is basic multiplication to get rid of the common factor of 'dt' in both equations to give dy/dx.

You would begain by differentiating the general y = something t and x = something t. This will give you the dy/dt and dx/dt. You would then find th recepricol of dx/dt to give dt/dx. Then multiply with the dy/dt you found before. This is known as the chain rule. 

NG

Related Maths A Level answers

All answers ▸

Find the equation of the tangent to the curve y=x^3 + 4x^2 - 2x - 3 where x = -4


Find the area enclosed by the curve y = 3x - x^2 and the x-axis


Line AB has equation 4x+5y+2=0. If the point P=(p, p+5) lies on AB, find P . The point A has coordinates (1, 2). The point C(5, k) is such that AC is perpendicular to AB. Find the value of k.


(https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2013/Exam-materials/6666_01_que_20160624.pdf) Question 6.(i)