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Question

If y=2ax and dydx=log256 at x=1 , then a=?

A
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B
1
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C
2
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3
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Solution

The correct option is A 2

Given that,

y=2ax …… (1)

dydx=log256 …… (2)

Differentiating equation (1) with respect to x and we get,

Then,

dydx=a.2ax.log2 …… (3)

By equation (2) and (3) to

log256=a.2ax.log2

log28=a.2ax.log2

8log2=a.2ax.log2

8=a.2ax

23=a.2ax

As given x=1,

22.2=a.2a×1 …… (4)

By Inspection, we see that, a=2 satisfies the equation (4),

L.H.S.=a.2a=2×22=8

R.H.S.=8

So, 2 is the correct answer.


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