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Popular >

derivative of cos(x+sin(x)+x)

Solution

\frac{d}{d x} (cos (x) + sin (x) + x)

Solution

- sin (x) + cos (x) + 1

Solution steps

\frac{d}{d x} (cos (x) + sin (x) + x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (sin (x)) + \frac{d x}{d x}

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d x}{d x} = 1

= - sin (x) + cos (x) + 1

Popular Examples

integral of x/(sqrt(25+x^4))

\int \frac{x}{25 + x ^{4}} d x

derivative of e^{x^3}*3x^2

\frac{d}{d x} (e^{x^{3}} \cdot 3 x^{2})

derivative of 2x^3e^{-0.6x}

\frac{d}{d x} (2 x^{3} e^{- 0.6 x})

integral of v/(v^2+1)

\int \frac{v}{v ^{2} + 1} d v

integral of (x^2+6)/(x^3+x^2-2x)

\int \frac{x ^{2} + 6}{x ^{3} + x ^{2} - 2 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of cos(x+sin(x)+x) ?
The derivative of cos(x+sin(x)+x) is -sin(x)+cos(x)+1
What is the first derivative of cos(x+sin(x)+x) ?
The first derivative of cos(x+sin(x)+x) is -sin(x)+cos(x)+1