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bmgf3m

Answered question

2021-12-11

Find the derivatives of the following functions using chain rule.

y = {(5 x + 1)}^{2}

Answer & Explanation

scomparve5j

Beginner2021-12-12Added 38 answers

Step 1
Given

y = {(5 x + 1)}^{2}

we find derivative using Chain Rule
Step 2
Since

y = {(5 x + 1)}^{2}

differentiate with respect to "x", we get

\frac{d y}{d x} = \frac{d}{d x} {(5 x + 1)}^{2} ∵ \frac{d}{d x} x^{n} = n x^{n - 1}

= 2 (5 x + 1) \frac{d}{d x} (5 x + 1)

=2(5x+1)(5)

\frac{d y}{d x} = 10 (5 x + 1)

Hence

\frac{d y}{d x} = 10 (5 x + 1)

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