(vii) (viii)
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Exercise 11.5
Differentiate the following functions with respect to x:$\text { (iii) } x^{x \cos x}+\frac{x^{2}+1}{x^{2}-1}$$(i v)(x \cos x)^{x}+(x \sin x)^{\frac{1}{x}}$
(iv)
Differentiate the following functions with respect to x:$x^{\tan ^{-1} x}$
Differentiate the following functions with respect to x:$(\tan x)^{1 / x}$
Differentiate the following functions with respect to x:$x^{\sin ^{-1} x}$
Differentiate the following functions with respect to x:$\left(\operatorname{Sin}^{-1} x\right)^{x}$
Differentiate the following functions with respect to x:$\sin \left(x^{x}\right)$
Differentiate the following functions with respect to x:$10^{\left(10^{x}\right)}$
Differentiate the following functions with respect to x:$(\log x)^{\log x}$
Differentiate the following functions with respect to x:$10^{\log \sin x}$
Differentiate the following functions with respect to x:$(\operatorname{Sin} x)^{\log x}$
Differentiate the following functions with respect to x:$e^{x \log x}$
Differentiate the following functions with respect to x:$(\operatorname{Sin} x)^{\cos x}$
Differentiate the following functions with respect to x:$(\log x)^{\cos x}$
Let y = (log x)cos x Taking log both the sides, we get