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Can I get answers and explanation to this A LEVEL past question a b c d

Can I get answers and explanation to this A LEVEL past question a b c d-example-1

1 Answer

2 votes

a.

Given:

The equation is,


y=(4x^2+5)^2+10\sin 2x

Step-by-step explanation:

Differentiate the both side of equation with respect to x.


\begin{gathered} (d)/(dx)y=(d)/(dx)\lbrack(4x^2+5)^2+10\sin 2x\rbrack \\ (dy)/(dx)=(d)/(dx)\lbrack(4x^2+5)^2\rbrack+(d)/(dx)(10\sin 2x) \\ =2(4x^2+5)\cdot(d)/(dx)(4x^2+5)+10\cos 2x\cdot(d)/(dx)(2x) \end{gathered}
\begin{gathered} =2(4x^2+5)(8x)+10\cos 2x\cdot2 \\ =16x(4x^2+5)+20\cos 2x \end{gathered}

So answer is,


(dy)/(dx)=16x(4x^2+5)+20\cos 2x

User Nikhil Goyal
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