Maths

>

A-Level

Differentiation

Question

Is the gradient of a curve at a given point the same as the gradient of the tangent of the curve at that given point?

2 years ago

·

1 Reply

·

1332 views

I

Isai Paucek


1 Answer

Liz R Profile Picture
Liz R Verified Sherpa Tutor ✓

Enthusiastic, Patient, Maths Teacher with 30 Years Experience.

5 reviews

Yes the gradient of a point that is on a given curve is the same as the tangent of the curve at that point. Hence you find the both gradient of the curve and the tangent by differentiating the function of the curve and substituting the values of that point into the resulting differential to obtain a value of its gradient function dy/dx. (Note that if you require implicit differentiation for this process you will need both the value of x and y to substitute at that point on the differential you have found and then rearrange to find dy/dx).

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

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

Think you can help?

More Maths A-Level Questions
Sherpa Badge

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