How can you use differentiation to tell if a function is increasing?

3 years ago

1 Reply

1477 views

Maynard Muller

1 Answer

Devan-Kumar M Verified Sherpa Tutor ✓

Young experienced tutor w a unique understanding of exam specification

3 reviews

If a function is increasing for the interval on which its first derivative is positive. e.g. f(x) = 3x^2 - 5x + 6. dy/dx = 6x - 5. If dy/dx > 0, 6x - 5 > 0 then 6x > 5 then x > 5/6. Therefore we realize that the function is increasing for x > 5/6.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.

Think you can help?

Need an A-Level Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find an A-Level Maths Tutor