Differentiate y = x sin(x)

The question is asking to differentiate which means find dy/dx. If we think about the differentiation rules we know about, we see that we should use the product rule as y is a product (multiplication) of two basic functions, x and sin(x). If y = uv then by the product rule, dy/dx = u'(x).v(x) + u(x).v'(x).In our particular question, u(x) = x and v(x) = sin(x). We know that the derivative of sin(x) is cos(x). So:dy/dx = 1.sin(x) + x.cos(x) = sin(x) + x.cos(x).

NT
Answered by Nathan T. Maths tutor

6030 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How would you integrate ln x


OCR C2 2015 Question 8: (a) Use logarithms to solve the equation 2^(n-3) = 18,000 , giving your answer correct to 3 significant figures. (b) Solve the simultaneous equations log2(x) + log2(y) = 8 & log2(x^2/y) = 7.


A curve C has equation y = (2 - x)(1 + x) + 3 . A line passes through the point (2, 3) and the point on C with x-coordinate 2 + h . Find the gradient of the line, giving your answer in its simplest form.


By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences