What is the derivative of f(x)=sqrt(8+xtan(x)) ?

The derivative of f(x)=sqrt(8+xtan(x)) is (xsec^2(x)+tan(x))/(2sqrt(8+xtan(x)))

What is the first derivative of f(x)=sqrt(8+xtan(x)) ?

The first derivative of f(x)=sqrt(8+xtan(x)) is (xsec^2(x)+tan(x))/(2sqrt(8+xtan(x)))

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derivative of

f (x) = 8 + x tan (x)

\frac{x sec ^{2} ( x ) + tan ( x )}{2 8 + x tan ( x )}

Solution steps

\frac{d}{d x} (8 + x tan (x))

Apply the chain rule:

\frac{1}{2 8 + x tan ( x )} \frac{d}{d x} (8 + x tan (x))

= \frac{1}{2 8 + x tan ( x )} \frac{d}{d x} (8 + x tan (x))

\frac{d}{d x} (8 + x tan (x)) = x sec^{2} (x) + tan (x)

= \frac{1}{2 8 + x tan ( x )} (x sec^{2} (x) + tan (x))

Simplify

\frac{1}{2 8 + x tan ( x )} (x sec^{2} (x) + tan (x)) : \frac{x sec ^{2} ( x ) + tan ( x )}{2 8 + x tan ( x )}

= \frac{x sec ^{2} ( x ) + tan ( x )}{2 8 + x tan ( x )}

f (x) = 3 e^{x} cos (x), (0, 3)

\int 2 e^{- 2 t} + 5 e^{- 8 t} d t

\int (x x^{2} - 1) d x

x \to 1 - lim (4 x^{3} - e^{x - 1})

\int cos^{10} (x) sin (x) d x

What is the derivative of f(x)=sqrt(8+xtan(x)) ?
The derivative of f(x)=sqrt(8+xtan(x)) is (xsec^2(x)+tan(x))/(2sqrt(8+xtan(x)))
What is the first derivative of f(x)=sqrt(8+xtan(x)) ?
The first derivative of f(x)=sqrt(8+xtan(x)) is (xsec^2(x)+tan(x))/(2sqrt(8+xtan(x)))