What is the d/(dt)(sin(at)) ?

The d/(dt)(sin(at)) is cos(at)a

What is the first d/(dt)(sin(at)) ?

The first d/(dt)(sin(at)) is cos(at)a

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\frac{d}{d t} (sin (a t))

cos (a t) a

Solution steps

\frac{d}{d t} (sin (a t))

Apply the chain rule:

cos (a t) \frac{d}{d t} (a t)

= cos (a t) \frac{d}{d t} (a t)

\frac{d}{d t} (a t) = a

= cos (a t) a

p a r t ia l f r a c t i o n \frac{x ^{2}}{x + 4}

d er i v a t i v e \frac{ln ( x ) + 2}{x ^{2}}

\int \frac{1}{- t ^{2} + 2 t + 3} d t

a re a 4 x^{2} + y = 4, x^{8} - y = 1

\int_{1}^{5} (x - 1)^{2} d x