Question 3: Differentiate the following w.r.t. x: e^x^3
Class 12 - Math - Continuity and Differentiability
Answers
Answered by
1
Let y = e^x³
Differentiation using chain rule
dy/dx = e^x³×3x²
Differentiation using chain rule
dy/dx = e^x³×3x²
Answered by
3
★ 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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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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