What is the derivative of-cos(cos(x)sin(x)) ?

The derivative of-cos(cos(x)sin(x)) is -sin^2(x)sin(cos(x))-cos(x)cos(cos(x))

What is the first derivative of-cos(cos(x)sin(x)) ?

The first derivative of-cos(cos(x)sin(x)) is -sin^2(x)sin(cos(x))-cos(x)cos(cos(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (- cos (cos (x)) sin (x))

- sin^{2} (x) sin (cos (x)) - cos (x) cos (cos (x))

Solution steps

\frac{d}{d x} (- cos (cos (x)) sin (x))

Take the constant out:

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

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

Apply the Product Rule:

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

f = cos (cos (x)), g = sin (x)

= - (\frac{d}{d x} (cos (cos (x))) sin (x) + \frac{d}{d x} (sin (x)) cos (cos (x)))

\frac{d}{d x} (cos (cos (x))) = sin (cos (x)) sin (x)

\frac{d}{d x} (sin (x)) = cos (x)

= - (sin (cos (x)) sin (x) sin (x) + cos (x) cos (cos (x)))

Simplify

- (sin (cos (x)) sin (x) sin (x) + cos (x) cos (cos (x))) : - sin^{2} (x) sin (cos (x)) - cos (x) cos (cos (x))

= - sin^{2} (x) sin (cos (x)) - cos (x) cos (cos (x))

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

\int_{\frac{π}{4}}^{\frac{π}{3}} 1

\frac{\partial}{\partial x} (2 x y + x^{2} + 3 y^{2})

x y^{^{'}} + y = e^{x}, y (- 1) = 4

x \to 4 lim (h (x))

What is the derivative of-cos(cos(x)sin(x)) ?
The derivative of-cos(cos(x)sin(x)) is -sin^2(x)sin(cos(x))-cos(x)cos(cos(x))
What is the first derivative of-cos(cos(x)sin(x)) ?
The first derivative of-cos(cos(x)sin(x)) is -sin^2(x)sin(cos(x))-cos(x)cos(cos(x))