Question

differentiate w.r.t to x. (SHOW THE STEPS):
${( {2x}^{2} - 3x + 4)}^{5}$
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Answer 1

Step-by-step explanation:

We have,

$y = (2 {x}^{2} - 3x + 4)^{5}$

Differentiating both sides w.r.t. x, we have,

$\frac{dy}{dx} = 5(2 {x}^{2} - 3x + 4)^{4} . \frac{d}{dx} (2 {x}^{2} - 3x + 4)$

$\implies \frac{dy}{dx} = 5(2 {x}^{2} - 3x + 4)^{4} .(4x - 3)$

$\implies \frac{dy}{dx} = 5(4x - 3)(2 {x}^{2} - 3x + 4)^{4}$