Question

find the derivative of ex sin(x²)
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Answer 1

$\bf{\blue{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

${ \bold { \underline{\large\pink{Correct \: Question : - }}}} \:$

Find the derivative of the function given by F(x)=Sin x2

${ \bold { \underline{\large\red{Answer: - }}}} \:$

let y = sin $(x) ^ { 2 }$

we need to find derivative of your, w. r. t. x

I.e $\frac{ dy }{ dx } = \frac{ d( \sin ( x ^ { 2 } ) }{ dx }$

= $\cos ( x ^ { 2 } ) . \frac{ d(x ^ { 2 } ) }{ dx }$$(( ^ { sin } \theta)'$= ${ Cos } \theta)$

= $\cos ( x ^ { 2 } ) .(2x ^ { 2 } -1)$

= $\cos ( x ^ { 2 } ) (2x)$

= 2x.Cos $x ^ { 2 }$

$\bf{\blue{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

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More to know :)

$\huge\mathfrak\purple{➛}$ Trigonometry table :)

$\begin{gathered}\begin{gathered}\begin{gathered}\sf Trigonometry\: Table \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0\end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}$

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