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Differentiation question

2020 · 2 Sep · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Differentiation
2020 · 2 Sep · Shift 2 · Q33

Differentiation question

2020 · 2 Sep · Shift 2 · Q33

JEE MainMathematicsDifferentiationNumerical+4 / −1

If y =

\sum\limits_{k = 1}^6 {k{{\cos }^{ - 1}}\left\{ {{3 \over 5}\cos kx - {4 \over 5}\sin kx} \right\}}

, then

{{dy} \over {dx}}

at x = 0 is

\underline{\hspace{2cm}}

.

Numerical answer

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