Question

$[\frac{d}{dx}((sin~x)^{cos~x})]_{x=7/4}=$}

• A. $(\frac{1}{\sqrt{2}})^{(\frac{\sqrt{2}+1}{\sqrt{2}})}(1+log\sqrt{2})$
• B. $(\frac{1}{\sqrt{2}})^{\frac{1}{\sqrt{2}}}(1+log\sqrt{2})$
• C. $(\frac{1}{\sqrt{2}})^{\frac{1}{\sqrt{2}}}(1-log\sqrt{2})$
• D. $(\frac{1}{\sqrt{2}})^{(\frac{\sqrt{2}+1}{\sqrt{2}})}(1-log\sqrt{2})$ \bigskip

Hint:

Always convert variable powers using logarithmic differentiation.

Answer 1

The Correct Option is B