Question

Question 2: Differentiate the following w.r.t. x: e^sin¯¹x

Class 12 - Math - Continuity and Differentiability

Answer 1

Nice question............

Answer 2

××××Differentiation using chain rule××××

let y = e^sin-¹x

now
dy/dx = e^sin-¹x × 1/√1-x²
since d/dx(sin-¹x) = 1/√1-x²