What is (\partial)/(\partial x)(8ln(cos(x))) ?

The answer to (\partial)/(\partial x)(8ln(cos(x))) is -8tan(x)

Popular >

(\partial)/(\partial x)(8ln(cos(x)))

\frac{\partial}{\partial x} (8 ln (cos (x)))

- 8 tan (x)

Solution steps

\frac{\partial}{\partial x} (8 ln (cos (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{\partial}{\partial x} (ln (cos (x)))

Apply the chain rule:

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

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

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

= 8 \cdot \frac{1}{cos ( x )} (- sin (x))

Simplify

8 \cdot \frac{1}{cos ( x )} (- sin (x)) : - 8 tan (x)

= - 8 tan (x)

\frac{\partial}{\partial x} (5 sin (3 x) cos (4 y))

y^{^{'}} = - 2 y + 5 t, y (0) = - 4

\int e^{9 x} cos (8 x) d x

\frac{\partial}{\partial z} (2 x^{\frac{y}{z}})

\int 4 x e^{- x} d x

What is (\partial)/(\partial x)(8ln(cos(x))) ?
The answer to (\partial)/(\partial x)(8ln(cos(x))) is -8tan(x)