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Popular >

derivative of 4cos(sin(3x))

Solution

\frac{d}{d x} (4 cos (sin (3 x)))

Solution

- 12 sin (sin (3 x)) cos (3 x)

Solution steps

\frac{d}{d x} (4 cos (sin (3 x)))

Take the constant out:

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

= 4 \frac{d}{d x} (cos (sin (3 x)))

Apply the chain rule:

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

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

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

= 4 (- sin (sin (3 x)) cos (3 x) \cdot 3)

Simplify

= - 12 sin (sin (3 x)) cos (3 x)

Popular Examples

y^{'''}+y^'=t^2

y^{^{'''}} + y^{^{'}} = t^{2}

(\partial)/(\partial x)(x^{1/3}y^3)

\frac{\partial}{\partial x} (x^{\frac{1}{3}} y^{3})

integral of (5x-4)/(2x^2+x-1)

\int \frac{5 x - 4}{2 x ^{2} + x - 1} d x

limit as t approaches 0 of (sin(4t))/t

t \to 0 lim (\frac{sin ( 4 t )}{t})

derivative of 65x^{9/10}derivative of

65 x^{\frac{9}{10}}

Frequently Asked Questions (FAQ)

What is the derivative of 4cos(sin(3x)) ?
The derivative of 4cos(sin(3x)) is -12sin(sin(3x))cos(3x)
What is the first derivative of 4cos(sin(3x)) ?
The first derivative of 4cos(sin(3x)) is -12sin(sin(3x))cos(3x)