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Popular >

derivative of y=cos(ln(4x^3))

Solution

derivative of

y = cos (ln (4 x^{3}))

Solution

- \frac{3 sin ( ln ( 4 x ^{3} ) )}{x}

Solution steps

\frac{d}{d x} (cos (ln (4 x^{3})))

Apply the chain rule:

- sin (ln (4 x^{3})) \frac{d}{d x} (ln (4 x^{3}))

= - sin (ln (4 x^{3})) \frac{d}{d x} (ln (4 x^{3}))

\frac{d}{d x} (ln (4 x^{3})) = \frac{3}{x}

= - sin (ln (4 x^{3})) \frac{3}{x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 sin ( ln ( 4 x ^{3} ) )}{x}

Popular Examples

derivative of y=e^xsin(x)+cos(x)e^x derivative of

y = e^{x} sin (x) + cos (x) e^{x}

derivative of f(x)=((6x^2-6x+6)^5)derivative of

f (x) = ((6 x^{2} - 6 x + 6)^{5})

derivative of 3x^3ln(x^2)derivative of

3 x^{3} ln (x^{2})

sum from n=0 to infinity of 0

n = 0 \sum \infty 0

integral of sqrt(x)+x^2

\int x + x^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=cos(ln(4x^3)) ?
The derivative of y=cos(ln(4x^3)) is -(3sin(ln(4x^3)))/x
What is the first derivative of y=cos(ln(4x^3)) ?
The first derivative of y=cos(ln(4x^3)) is -(3sin(ln(4x^3)))/x