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Popular >

d/(dt)(cos^3(t)+sin^3(t))

Solution

\frac{d}{d t} (cos^{3} (t) + sin^{3} (t))

Solution

- 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

Solution steps

\frac{d}{d t} (cos^{3} (t) + sin^{3} (t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (cos^{3} (t)) + \frac{d}{d t} (sin^{3} (t))

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

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

= - 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

Popular Examples

(\partial)/(\partial z)(3e^xcos(yz))

\frac{\partial}{\partial z} (3 e^{x} cos (yz))

derivative of (5x/(7x^2+1))

\frac{d}{d x} (\frac{5 x}{7 x ^{2} + 1})

y^{^{''}} + a y = 0

sum from n=1 to infinity of n^2

n = 1 \sum \infty n^{2}

integral from-8 to 8 of sqrt(64-x^2)

\int_{- 8}^{8} 64 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the d/(dt)(cos^3(t)+sin^3(t)) ?
The d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)
What is the first d/(dt)(cos^3(t)+sin^3(t)) ?
The first d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)