Q20 of 168 Page 30

If , find

Given,

y =

⇒ y = 2 cosec x – 3 cot x

Now, differentiating both sides w.r.t x –

∴ )

Using algebra of derivatives –

⇒

Use:

∴

Hence, dy/dx at x = π/4 is

Differentiate the following with respect to x:

If , find

Find the slope of the tangent to the curve f(x) = 2x⁶ + x⁴ – 1 at x = 1.

If , prove that: