Categories > differentiation > Implicit-function > If $y = f\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)$and $f'(x) = \cos x$, then $\frac{{dy}}{{dx}} = $

differentiation

Question: If $y = f\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)$and $f'(x) = \cos x$, then $\frac{{dy}}{{dx}} = $


1) $\cos \,\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)\,\frac{{dy}}{{dx}}\,\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)$
2) $\frac{{5x + 1}}{{10{x^2} - 3}}\,\,\cos \,\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)$
3) $\cos \,\left( {\frac{{5x + 1}}{{10{x^2} - 3}}} \right)$
4) None of these
Solution: Explanation: Explanation
Implicit-function

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