Question

Differentiate the following

log (x + √x²+a²)​

Answer 1

Answer:

1/√x²+a²

1. At first differentiate log(x+√x²+a²) just like logx.
2. Next try to differentiate(x+√x²+a²). Then simplify the result.

Answer 2

Answer:

f(x)=logx1+x2√

=logx−log(1+x2)(1/2)

=logx−12log(1+x2)

d[f(x)]dx=1x−12×11+x2×d(1+x2)dx

=1x−1211+x22x

=1x−x1+x2

=1+x2−x2x(1+x2)

=1x(1+x2)

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