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Popular >

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

Solution

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

Solution

cos (x) - sin (x) + sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= cos (x) - sin (x) + sec^{2} (x)

Popular Examples

d/(dy)(ln(sqrt(xy)))

\frac{d}{d y} (ln (x y))

derivative of (450t)/((t^2+6)^3)derivative of

\frac{450 t}{( t ^{2} + 6 ) ^{3}}

tangent of y=(2x)/(x^2+1),(0,0)tangent of

y = \frac{2 x}{x ^{2} + 1}, (0, 0)

(\partial)/(\partial y)(sqrt(xye^y))

\frac{\partial}{\partial y} (x y e^{y})

integral of (2y)/(1-y^2)

\int \frac{2 y}{1 - y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the derivative of sin(x+cos(x)+tan(x)) ?
The derivative of sin(x+cos(x)+tan(x)) is cos(x)-sin(x)+sec^2(x)
What is the first derivative of sin(x+cos(x)+tan(x)) ?
The first derivative of sin(x+cos(x)+tan(x)) is cos(x)-sin(x)+sec^2(x)