What is the derivative of xtan(x) ?

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

What is the first derivative of xtan(x) ?

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

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derivative of

x 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{π}{2}}^{π} sin^{2} (x) d x

5 - 4 x^{3}

{y}

\int \frac{3 x ^{2} 16 + y ^{2}}{y}

x \to 1 lim (3 ln (x))

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