What is the d/(dt)(e^{sin(t)}) ?

The d/(dt)(e^{sin(t)}) is e^{sin(t)}cos(t)

What is the first d/(dt)(e^{sin(t)}) ?

The first d/(dt)(e^{sin(t)}) is e^{sin(t)}cos(t)

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\frac{d}{d t} (e^{s i n (t)})

e^{s i n (t)} cos (t)

Solution steps

\frac{d}{d t} (e^{s i n (t)})

Apply the chain rule:

e^{s i n (t)} \frac{d}{d t} (sin (t))

= e^{s i n (t)} \frac{d}{d t} (sin (t))

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

= e^{s i n (t)} cos (t)

\frac{1 + x}{1 - x}

\frac{d}{d x} (\frac{2 x ^{3}}{3})

y^{^{'}} = - y + 1

\frac{s ^{2} + 12}{( s ^{4} - 16 )}

\frac{d y}{d t} = - 1 - 2 y

What is the d/(dt)(e^{sin(t)}) ?
The d/(dt)(e^{sin(t)}) is e^{sin(t)}cos(t)
What is the first d/(dt)(e^{sin(t)}) ?
The first d/(dt)(e^{sin(t)}) is e^{sin(t)}cos(t)