Mathematics - Differentiation Question with Solution | TestHub

MathematicsDifferentiationDifferentiation of composite functionsEasy2 minPYQ_2023

MathematicsEasysingle choice

The derivative of $e^{x^{3}}$ with respect to $lo g x$ is

Options:

Answer:

Solution:

Let $y = e^{x^{3}}, z = lo g x$
On differentiating w.r.t.x, we get
$\frac{d y}{d x} = e^{x^{3}} (3 x^{2}) = 3 x^{2} e^{x^{3}} and \frac{d z}{d x} = \frac{1}{x}$
$∴ \frac{d y}{d z} = \frac{\frac{d y}{d x}}{\frac{d z}{d x}} = \frac{3 x ^{2} e ^{x^{3}}}{( \frac{1}{x} )} = 3 x^{3} e^{x^{3}}$

Stream:BITSATSubject:MathematicsTopic:DifferentiationSubtopic:Differentiation of composite functions

⏱ 2mℹ️ Source: PYQ_2023

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