Hire a tutor

Differentiate the function y = tan(3x).

The derivative of y = tan(3x) is 3sec²(3x).

To differentiate y = tan(3x), we can use the chain rule. Let u = 3x, then y = tan(u). Using the chain rule, we have:

dy/dx = dy/du * du/dx

To find dy/du, we can use the derivative of tan(u), which is sec²(u). Therefore:

dy/du = sec²(u)

To find du/dx, we can use the derivative of u, which is 3. Therefore:

du/dx = 3

Putting it all together, we have:

dy/dx = dy/du * du/dx
= sec²(u) * 3
= sec²(3x) * 3

Therefore, the derivative of y = tan(3x) is:

dy/dx = 3sec²(3x)

Study and Practice for Free

Trusted by 100,000+ Students Worldwide

Achieve Top Grades in your Exams with our Free Resources.

Practice Questions, Study Notes, and Past Exam Papers for all Subjects!

Need help from an expert?

4.92/5 based on480 reviews

The world’s top online tutoring provider trusted by students, parents, and schools globally.

Related Maths a-level Answers

    Read All Answers
    Loading...