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

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Question

Differentiate the following w.r.t. x:

`e^(x^3)`

Sum
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Solution

Let, y = `e^(x^3)`

Differentiating both sides with respect to x,

`dy/dx = d/dx e^(x^3)`

= `e^(x^3) d/dx x^3`

= `e^(x^3) * 3x^2 `

= `3e^(x^3)*x^2`

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Chapter 5: Continuity and Differentiability - Exercise 5.4 [Page 174]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.4 | Q 3 | Page 174

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