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Popular >

d/(dt)(e^{3cos(t)+2t^2})

Solution

\frac{d}{d t} (e^{3 c o s (t) + 2 t^{2}})

Solution

e^{3 c o s (t) + 2 t^{2}} (- 3 sin (t) + 4 t)

Solution steps

\frac{d}{d t} (e^{3 c o s (t) + 2 t^{2}})

Apply the chain rule:

e^{3 c o s (t) + 2 t^{2}} \frac{d}{d t} (3 cos (t) + 2 t^{2})

= e^{3 c o s (t) + 2 t^{2}} \frac{d}{d t} (3 cos (t) + 2 t^{2})

\frac{d}{d t} (3 cos (t) + 2 t^{2}) = - 3 sin (t) + 4 t

= e^{3 c o s (t) + 2 t^{2}} (- 3 sin (t) + 4 t)

Popular Examples

(\partial)/(\partial x)(e^{-9x^2-2y^2})

\frac{\partial}{\partial x} (e^{- 9 x^{2} - 2 y^{2}})

integral of sec^2(2xy)

\int sec^{2} (2 x y) d x

derivative of (x^2-8x+7/(x^2+9))

\frac{d}{d x} (\frac{x ^{2} - 8 x + 7}{x ^{2} + 9})

(\partial)/(\partial x)(t^2e^x+3x^2)

\frac{\partial}{\partial x} (t^{2} e^{x} + 3 x^{2})

integral from 2 to 7 of 3

\int_{2}^{7} 3 d x

Frequently Asked Questions (FAQ)

What is the d/(dt)(e^{3cos(t)+2t^2}) ?
The d/(dt)(e^{3cos(t)+2t^2}) is e^{3cos(t)+2t^2}(-3sin(t)+4t)
What is the first d/(dt)(e^{3cos(t)+2t^2}) ?
The first d/(dt)(e^{3cos(t)+2t^2}) is e^{3cos(t)+2t^2}(-3sin(t)+4t)