Answers>Maths>A Level>Article

f(x) = (sin(x))^3. What is f'(x)

Write sin³(x) as sin²x*sinx and differentiate using product rule, u=sin²x, v=sinx, du/dx=2sinxcosx, dv/dx=cosx where the product rule is u(dv/dx) + v(du/dx). This gets 2sin²xcosx + sin²xcosx = 3sin²xcosx which is the correct answer

Answered by Liam R. • Maths tutor

2819 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A fair die has six faces numbered 1, 1, 1, 2, 2, and 3. The die is rolled twice and the number showing on the uppermost face is recorded. Find the probability that the sum of the two numbers is at least three.

Maths C1 2017 1. Find INT{2x^(5) + 1/4x^(3) -5}

(1.) f(x)=x^3+3x^2-2x+15. (a.) find the differential of f(x) (b.) hence find the gradient of f(x) when x=6 (c.) is f(x) increasing or decreasing at this point?

f(x) = (sin(x))^3. What is f'(x)

Related Maths A Level answers

A fair die has six faces numbered 1, 1, 1, 2, 2, and 3. The die is rolled twice and the number showing on the uppermost face is recorded. Find the probability that the sum of the two numbers is at least three.

Maths C1 2017 1. Find INT{2x^(5) + 1/4x^(3) -5}

(1.) f(x)=x^3+3x^2-2x+15. (a.) find the differential of f(x) (b.) hence find the gradient of f(x) when x=6 (c.) is f(x) increasing or decreasing at this point?

What the integral of e^2x*x? (limits 0,1)

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2025

CLICK CEOP