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Popular >

derivative of xsec^2(x+tan(x))

Solution

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

Solution

2 x sec^{2} (x) tan (x) + 2 sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= sec^{2} (x) + 2 x sec^{2} (x) tan (x) + sec^{2} (x)

Simplify

= 2 x sec^{2} (x) tan (x) + 2 sec^{2} (x)

Popular Examples

area y=xe^{-0.1x},y=0,x=3 area

y = x e^{- 0.1 x}, y = 0, x = 3

integral of cos^3(7-x)sin(7-x)

\int cos^{3} (7 - x) sin (7 - x) d x

y^{^{'}} - x^{3} = x^{3} y

tangent of f(x)=(sqrt(x))/(x+9),\at x=1 tangent of

f (x) = \frac{x}{x + 9}, at x = 1

(\partial)/(\partial x)(8e^{xy+5})

\frac{\partial}{\partial x} (8 e^{x y + 5})

Frequently Asked Questions (FAQ)

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