What is (\partial)/(\partial x)(cos^2(5x)) ?

The answer to (\partial)/(\partial x)(cos^2(5x)) is -5sin(10x)

Popular >

(\partial)/(\partial x)(cos^2(5x))

\frac{\partial}{\partial x} (cos^{2} (5 x))

- 5 sin (10 x)

Solution steps

\frac{\partial}{\partial x} (cos^{2} (5 x))

Apply the chain rule:

2 cos (5 x) \frac{\partial}{\partial x} (cos (5 x))

= 2 cos (5 x) \frac{\partial}{\partial x} (cos (5 x))

\frac{\partial}{\partial x} (cos (5 x)) = - sin (5 x) \cdot 5

= 2 cos (5 x) (- sin (5 x) \cdot 5)

Simplify

2 cos (5 x) (- sin (5 x) \cdot 5) : - 5 sin (10 x)

= - 5 sin (10 x)

\frac{d}{d x} (x^{- \frac{3}{7}})

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 20

f (x) = 6 tan (x), at x = \frac{π}{3}

\int sin^{3} (2 x) cos^{8} (2 x) d x

\frac{\partial}{\partial x} (x^{3} y^{4})

What is (\partial)/(\partial x)(cos^2(5x)) ?
The answer to (\partial)/(\partial x)(cos^2(5x)) is -5sin(10x)