What is the derivative of cos^2(e^{cos^2(t)}) ?

The derivative of cos^2(e^{cos^2(t)}) is e^{cos^2(t)}sin(2e^{cos^2(t)})sin(2t)

What is the first derivative of cos^2(e^{cos^2(t)}) ?

The first derivative of cos^2(e^{cos^2(t)}) is e^{cos^2(t)}sin(2e^{cos^2(t)})sin(2t)

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derivative of

cos^{2} (e^{c o s^{2} (t)})

e^{c o s^{2} (t)} sin (2 e^{c o s^{2} (t)}) sin (2 t)

Solution steps

\frac{d}{d t} (cos^{2} (e^{c o s^{2} (t)}))

Apply the chain rule:

2 cos (e^{c o s^{2} (t)}) \frac{d}{d t} (cos (e^{c o s^{2} (t)}))

= 2 cos (e^{c o s^{2} (t)}) \frac{d}{d t} (cos (e^{c o s^{2} (t)}))

\frac{d}{d t} (cos (e^{c o s^{2} (t)})) = e^{c o s^{2} (t)} sin (e^{c o s^{2} (t)}) sin (2 t)

= 2 cos (e^{c o s^{2} (t)}) e^{c o s^{2} (t)} sin (e^{c o s^{2} (t)}) sin (2 t)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= e^{c o s^{2} (t)} sin (2 e^{c o s^{2} (t)}) sin (2 t)

\frac{280}{( s ^{2} + 14 s + 245 )}

\frac{\partial}{\partial x} (4 x^{3})

f (x) = 8 x - x^{2}, at x = 1

\int (2 + 3 x^{2} - 8 x^{3}) d x

y^{^{''}} + 3 y^{^{'}} + 2 y = 15 + e x

What is the derivative of cos^2(e^{cos^2(t)}) ?
The derivative of cos^2(e^{cos^2(t)}) is e^{cos^2(t)}sin(2e^{cos^2(t)})sin(2t)
What is the first derivative of cos^2(e^{cos^2(t)}) ?
The first derivative of cos^2(e^{cos^2(t)}) is e^{cos^2(t)}sin(2e^{cos^2(t)})sin(2t)