Question

Question 3: Differentiate the following w.r.t. x: e^x^3

Class 12 - Math - Continuity and Differentiability

Answer 1

Let y = e^x³
Differentiation using chain rule

dy/dx = e^x³×3x²

Answer 2

★ DIFFERENTIATION ★

By applying chain rule ,

dy/dt x dt/dx

where dt = differentiation of function [ e^x³ = e^t ]

Hence , dt/dx = 3x²

Hence , the result comes to be :

e^x^3 ( 3x² )

The same results will be obtained if taking logs on both the sides , but not easily with using trigonometry

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