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Popular >

derivative of x+1-tan(x/4)

Solution

\frac{d}{d x} (x + 1 - tan (\frac{x}{4}))

Solution

- \frac{1}{4} sec^{2} (\frac{x}{4}) + 1

Solution steps

\frac{d}{d x} (x + 1 - tan (\frac{x}{4}))

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (1) - \frac{d}{d x} (tan (\frac{x}{4}))

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (tan (\frac{x}{4})) = sec^{2} (\frac{x}{4}) \frac{1}{4}

= 1 + 0 - sec^{2} (\frac{x}{4}) \frac{1}{4}

Simplify

= - \frac{1}{4} sec^{2} (\frac{x}{4}) + 1

Popular Examples

limit as x approaches 6-of 1/(x-6)

x \to 6 - lim (\frac{1}{x - 6})

integral of 9/((x-4)(x+2))

\int \frac{9}{( x - 4 ) ( x + 2 )} d x

integral of t^4e^{t^5}

\int t^{4} e^{t^{5}} d t

integral of e^{-x}cos(nx)

\int e^{- x} cos (n x) d x

integral of sqrt(1+x/4)

\int 1 + \frac{x}{4} d x

Frequently Asked Questions (FAQ)

What is the derivative of x+1-tan(x/4) ?
The derivative of x+1-tan(x/4) is -1/4 sec^2(x/4)+1
What is the first derivative of x+1-tan(x/4) ?
The first derivative of x+1-tan(x/4) is -1/4 sec^2(x/4)+1