Let y = e x 3 therefore, dx = dx ( e x 3 ) = e x 3 dx ( x 3 ) = e x 3 3 x 2 = 3 e x 3

Continuity and Differentiability — Class 12 Maths Solution

ncert exercise SA NCERT Ex.5.4 ,Q.3,Page 174

Question

${e^{{x^3}}}$

Step-by-step Solution

Let $y = {e^{{x^3}}}$

therefore, $\cfrac{{dy}}{{dx}} = \cfrac{d}{{dx}}\left( {{e^{{x^3}}}} \right) = {e^{{x^3}}}\cfrac{d}{{dx}}({x^3}) = {e^{{x^3}}} \cdot 3{x^2} = 3{e^{{x^3}}} \cdot {x^2}$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Continuity and Differentiability. Curated by Sachin Sharma. Free for all students.