What is (\partial)/(\partial t)(t^4cos(s)) ?

The answer to (\partial)/(\partial t)(t^4cos(s)) is 4t^3cos(s)

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(\partial)/(\partial t)(t^4cos(s))

\frac{\partial}{\partial t} (t^{4} cos (s))

4 t^{3} cos (s)

Solution steps

\frac{\partial}{\partial t} (t^{4} cos (s))

Treat

s

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (s) \frac{\partial}{\partial t} (t^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= cos (s) \cdot 4 t^{4 - 1}

Simplify

= 4 t^{3} cos (s)

csc^{3} (5 x^{2} + 1)

y^{^{'}} + \frac{2 y}{x} = - \frac{2}{x}

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0

\frac{d}{d x} (\frac{x - y}{2 x + 4 y})

y - 3 ln (x) - 4 = 0

What is (\partial)/(\partial t)(t^4cos(s)) ?
The answer to (\partial)/(\partial t)(t^4cos(s)) is 4t^3cos(s)