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Popular >

derivative of f(x)=2cos(2x)

Solution

derivative of

f (x) = 2 cos (2 x)

Solution

- 4 sin (2 x)

Solution steps

\frac{d}{d x} (2 cos (2 x))

Take the constant out:

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

= 2 \frac{d}{d x} (cos (2 x))

Apply the chain rule:

- sin (2 x) \frac{d}{d x} (2 x)

= - sin (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

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

Simplify

= - 4 sin (2 x)

Popular Examples

(2x+3y)dx+(6x+9y-3)dy=0

(2 x + 3 y) d x + (6 x + 9 y - 3) d y = 0

integral of xy)

\int d (x y)

(\partial)/(\partial y)(y^3+2ye^x)

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

(\partial)/(\partial x)(2x^3y+cos(x^3))

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

(\partial)/(\partial y)((100)/(5x^2+y^2))

\frac{\partial}{\partial y} (\frac{100}{5 x ^{2} + y ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2cos(2x) ?
The derivative of f(x)=2cos(2x) is -4sin(2x)
What is the first derivative of f(x)=2cos(2x) ?
The first derivative of f(x)=2cos(2x) is -4sin(2x)