What is (\partial)/(\partial z)(xyz^2tan(yt)) ?

The answer to (\partial)/(\partial z)(xyz^2tan(yt)) is 2xyztan(yt)

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(\partial)/(\partial z)(xyz^2tan(yt))

\frac{\partial}{\partial z} (x y z^{2} tan (y t))

2 x yz tan (y t)

Solution steps

\frac{\partial}{\partial z} (x y z^{2} tan (y t))

Treat

x, y, t

as constants

Take the constant out:

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

= x y tan (y t) \frac{\partial}{\partial z} (z^{2})

Apply the Power Rule:

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

= x y tan (y t) \cdot 2 z^{2 - 1}

Simplify

= 2 x yz tan (y t)

sin^{2} (x)

f (x) = x + 3 + \frac{4}{x}

\frac{d}{d t} (- 1)

\int \frac{26}{x ( x ^{2} + 4 ) ^{2}} d x

\frac{1}{( s + 1 ) ^{2} ( s ^{2} + 4 )}

What is (\partial)/(\partial z)(xyz^2tan(yt)) ?
The answer to (\partial)/(\partial z)(xyz^2tan(yt)) is 2xyztan(yt)