What is the derivative of x*tan(x) ?

The derivative of x*tan(x) is tan(x)+xsec^2(x)

What is the first derivative of x*tan(x) ?

The first derivative of x*tan(x) is tan(x)+xsec^2(x)

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\frac{d}{d x} (x \cdot tan (x))

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

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = tan (x)

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

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

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

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

Simplify

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

\int \frac{5}{( 3 x - 1 ) ^{3}} d x

\int \frac{e ^{- 5 x} + 3 x e ^{x}}{2} d x

x \to + 3 lim (\frac{1}{( x - 3 )})

y = 2 (12 x - 42)

2 t - \frac{8}{3}

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