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

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

y = sin x + cos x

बेरीज

y = sin x + cos x

`("d"y)/("d"x)` = cosx + (– sinx)

= cos x – sin x

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Differentiation Rules

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

पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 2 | पृष्ठ १६०

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

y = tan θ (sin θ + cos θ)

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

y = (x² + 5) log(1 + x) e^–3x

Differentiate the following:
y = (x² + 4x + 6)⁵

Differentiate the following:
y = e^–mx

Differentiate the following:
y = (1 + cos²)⁶

Differentiate the following:
y = `sqrt(x + sqrt(x + sqrt(x)`

Differentiate the following:
y = `sin(tan(sqrt(sinx)))`

Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`

Find the derivatives of the following:
y = `x^(logx) + (logx)^x`

Find the derivatives of the following:
`sqrt(x) = "e"^((x - y))`

Find the derivatives of the following:

(cos x)^{log x}