Find the derivatives of the following functions with respect to corresponding independent variables: y = x sin x cos x - Mathematics

Find the derivatives of the following functions with respect to corresponding independent variables:

y = x sin x cos x

योग

y = x sin x cos x

y = `1/2* 2 sin x cos x`

y = `1/2 x * sin 2x`

`("d"y)/("d"x) = 1/2 [x cos 2x xx 2 + sin 2x xx 1]`

`("d"y)/("d"x) = 1/2 [2x cos 2x + 2 sin x cos x]`

= `1/2 xx 2[x cos 2x + sin x cos x]`

`("d"y)/("d"x) = x cos 2x + sin x cos x`

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अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [पृष्ठ १६०]

अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 15 | पृष्ठ १६०

Find the derivatives of the following functions with respect to corresponding independent variables:

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y = tan 3x

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y = `"e"^sqrt(x)`

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y = `sqrt(x +sqrt(x)`

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(cos x)^{log x}