What is (\partial)/(\partial x)(xtan(x)) ?

The answer to (\partial)/(\partial x)(xtan(x)) is tan(x)+xsec^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(xtan(x))

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

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

Solution steps

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

Apply the Product Rule:

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

f = x, g = tan (x)

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

\frac{\partial}{\partial x} (x) = 1

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

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

Simplify

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

y = 3 x (a^{2} - x^{2})

4 (1 + e^{- 0.3 t})

\int \frac{( ln ( x ) ) ^{3}}{2 x} d x

\frac{\partial}{\partial x} (cos (x) sin (x))

(\frac{1}{2}, 7), (3, - \frac{3}{2})

What is (\partial)/(\partial x)(xtan(x)) ?
The answer to (\partial)/(\partial x)(xtan(x)) is tan(x)+xsec^2(x)