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Popular >

derivative of-7sin(cos(x))

Solution

\frac{d}{d x} (- 7 sin (cos (x)))

Solution

7 cos (cos (x)) sin (x)

Solution steps

\frac{d}{d x} (- 7 sin (cos (x)))

Take the constant out:

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

= - 7 \frac{d}{d x} (sin (cos (x)))

Apply the chain rule:

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

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

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

= - 7 cos (cos (x)) (- sin (x))

Simplify

= 7 cos (cos (x)) sin (x)

Popular Examples

(\partial)/(\partial x)((4x-4z)/(y+4z))

\frac{\partial}{\partial x} (\frac{4 x - 4 z}{y + 4 z})

slope of (2x+2y)^3=8x^3+8y^3,(-1,1)slope

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3}, (- 1, 1)

integral of (2x+1)(x-3)

\int (2 x + 1) (x - 3) d x

(\partial)/(\partial x)(tan(xy^3))

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

9y^{''}+6y^'+y=0,y(0)=1,y^'(0)=2

9 y^{^{''}} + 6 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = 2

Frequently Asked Questions (FAQ)

What is the derivative of-7sin(cos(x)) ?
The derivative of-7sin(cos(x)) is 7cos(cos(x))sin(x)
What is the first derivative of-7sin(cos(x)) ?
The first derivative of-7sin(cos(x)) is 7cos(cos(x))sin(x)