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Popular >

d/(dt)(cos((t^3)/(10)))

Solution

\frac{d}{d t} (cos (\frac{t ^{3}}{10}))

Solution

- \frac{3 t ^{2} sin ( \frac{t ^{3}}{10} )}{10}

Solution steps

\frac{d}{d t} (cos (\frac{t ^{3}}{10}))

Apply the chain rule:

- sin (\frac{t ^{3}}{10}) \frac{d}{d t} (\frac{t ^{3}}{10})

= - sin (\frac{t ^{3}}{10}) \frac{d}{d t} (\frac{t ^{3}}{10})

\frac{d}{d t} (\frac{t ^{3}}{10}) = \frac{3 t ^{2}}{10}

= - sin (\frac{t ^{3}}{10}) \frac{3 t ^{2}}{10}

Multiply fractions:

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

= - \frac{3 t ^{2} sin ( \frac{t ^{3}}{10} )}{10}

Popular Examples

limit as x approaches 2 of (9x)/(x-2)

x \to 2 lim (\frac{9 x}{x - 2})

integral of x^2*3^{2x}

\int x^{2} \cdot 3^{2 x} d x

sum from n=1 to infinity of 1/(n^{0.7)}

n = 1 \sum \infty \frac{1}{n ^{0.7}}

integral of 1/(sqrt(-7-8x-x^2))

\int \frac{1}{- 7 - 8 x - x ^{2}} d x

derivative of ln(x+ln(y))

\frac{d}{d x} (ln (x) + ln (y))

Frequently Asked Questions (FAQ)

What is the d/(dt)(cos((t^3)/(10))) ?
The d/(dt)(cos((t^3)/(10))) is -(3t^2sin(\frac{t^3)/(10))}{10}
What is the first d/(dt)(cos((t^3)/(10))) ?
The first d/(dt)(cos((t^3)/(10))) is -(3t^2sin(\frac{t^3)/(10))}{10}