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Popular >

derivative of cxcos(2x)

Solution

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

Solution

c (cos (2 x) - 2 x sin (2 x))

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

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

f = x, g = cos (2 x)

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

\frac{d x}{d x} = 1

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

= c (1 \cdot cos (2 x) + (- sin (2 x) \cdot 2) x)

Simplify

= c (cos (2 x) - 2 x sin (2 x))

Popular Examples

integral of sqrt((4+9x)/4)

\int \frac{4 + 9 x}{4} d x

sum from n=1 to infinity of (0.9)^n

n = 1 \sum \infty (0.9)^{n}

25y^{''}-15y^'-4y=0

25 y^{^{''}} - 15 y^{^{'}} - 4 y = 0

derivative of f(x)=x^3(x^4-1)derivative of

f (x) = x^{3} (x^{4} - 1)

derivative of (-x^2-4/((x^2-4)^2))

\frac{d}{d x} (\frac{- x ^{2} - 4}{( x ^{2} - 4 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of cxcos(2x) ?
The derivative of cxcos(2x) is c(cos(2x)-2xsin(2x))
What is the first derivative of cxcos(2x) ?
The first derivative of cxcos(2x) is c(cos(2x)-2xsin(2x))