What is the derivative of this function $y = 7 {sin}^{- 1} (10 x)$ $y=7sin^-1(10x)$ ?

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What is the derivative of this function $y = 7 {sin}^{- 1} (10 x)$ $y=7sin^-1(10x)$ ?

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Answer 1 · 2016-07-31T15:24:33

$\frac{70}{\sqrt{1 - 100 x^{2}}}$ $70/sqrt(1-100x^2)$ .

Explanation:

$y = 7 {sin}^{- 1} (10 x)$ $y=7sin^-1(10x)$

$\Rightarrow \frac{d y}{d x} = 7 \cdot \frac{1}{\sqrt{1 - {(10 x)}^{2}}} \cdot \frac{d}{d x} (10 x) = \frac{7}{\sqrt{1 - 100 x^{2}}} \cdot 10$ $rArr dy/dx=7*1/(sqrt(1-(10x)^2))*d/dx(10x)=7/(sqrt(1-100x^2))*10$

$= \frac{70}{\sqrt{1 - 100 x^{2}}}$ $=70/sqrt(1-100x^2)$ .

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What is the derivative of this function $y = 7 {sin}^{- 1} (10 x)$ $y=7sin^-1(10x)$ ?

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