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

3706 Views

See similar Maths A Level tutors

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

Related Maths A Level answers

Integrate 1/(5-2x) for 3≤x≤4

Let N be an integer not divisible by 3. Prove N^2 = 3a + 1, where a is an integer

how do you differentiate tan(x)

How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)