Methods in Calculus 3 • Differentiating Inverse Trig Functions • CP2 Ex3C • 🏆

Edexcel Core Pure Year 2

Fri 10/1/20

[nepaliman]

Sir, for the last question you solved in the video it is dy/dx = ... but the question says that we need to show that y = ... Is the question incorrect?

[marcusking]

Great video. Just one thing, shouldn't the last question say show that dy/dx = ... Thanks.

[BBK]

for the question "given that y = arcsin x², find dy/dx" i have tried twice and cannot seem to get the x^4 part

working:

y = arcsin(x²)

then sin both sides


sin (y) = x²

then differentiate

cos (y) dy/dx = 2x

then rearrange for dy/dx

dy/dx = 2x / cos (y)

then subbed in cos (y) as we did in the first question but don't get the x^4 part

[lemonsherbets]

Can you simplify the square root of 1-x^4 to 1-x^2 sir

[kyedefriend]

@3:20 for the second question, why do we multiply the numerator by the differential of the blah and not the deonominator?

[tli]

At 1:49

When you differentiate sin(y) with respect to x, why does this differentiate into cos(y)dy/dx? Thanks