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Popular >

derivative of 6+cos(sqrt(3x))

Solution

\frac{d}{d x} (6 + cos (3 x))

Solution

- \frac{3 sin ( 3 x )}{2 x}

Solution steps

\frac{d}{d x} (6 + cos (3 x))

Simplify

6 + cos (3 x) : 6 + cos (3 x)

= \frac{d}{d x} (6 + cos (3 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6) + \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (6) = 0

\frac{d}{d x} (cos (3 x)) = - \frac{3 sin ( 3 x )}{2 x}

= 0 - \frac{3 sin ( 3 x )}{2 x}

Simplify

= - \frac{3 sin ( 3 x )}{2 x}

Popular Examples

integral from 2 to 6 of 1/(sqrt(2x-3))

\int_{2}^{6} \frac{1}{2 x - 3} d x

limit as x approaches 0+of (3^x-1)/(x^2)

x \to 0 + lim (\frac{3 ^{x} - 1}{x ^{2}})

integral of (x^3)/a

\int \frac{x ^{3}}{a} d x

derivative of xsqrt(2x^2+7)derivative of

x 2 x^{2} + 7

(\partial)/(\partial x)(|x|y+2x)

\frac{\partial}{\partial x} (∣ x ∣ y + 2 x)

Frequently Asked Questions (FAQ)

What is the derivative of 6+cos(sqrt(3x)) ?
The derivative of 6+cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))
What is the first derivative of 6+cos(sqrt(3x)) ?
The first derivative of 6+cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))