Maths

>

A-Level

Differentiation

Question

Can you differentiate inverse trig functions implicitly ?

2 years ago

·

1 Reply

·

1541 views

G

Genevieve Lebsack


1 Answer

Liz R Profile Picture
Liz R Verified Sherpa Tutor ✓

Enthusiastic, Patient, Maths Teacher with 30 Years Experience.

5 reviews

Yes -this is the method used.


If y=arcsin x then x=siny

Differentiating both sides with respect to x gives


1=cos y (dy/dx).


Rearranging gives dy/dx = 1/cos y.


However cos y = sqrt (1 - sin2y) = sqrt (1- x2) and hence


dy/dx=1/sqrt (1-x2)

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