What is (\partial)/(\partial s)(e^{s^3+t^2}) ?

The answer to (\partial)/(\partial s)(e^{s^3+t^2}) is e^{s^3+t^2}*3s^2

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(\partial)/(\partial s)(e^{s^3+t^2})

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

e^{s^{3} + t^{2}} \cdot 3 s^{2}

Solution steps

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

Treat

t

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial s} (s^{3} + t^{2}) = 3 s^{2}

= e^{s^{3} + t^{2}} \cdot 3 s^{2}

\frac{1}{4} y^{^{''}} + y^{^{'}} + y = x^{2} - 5 x

\int e^{x} x + e^{x} d x

f (x) = \frac{3}{2 x ^{5}}

\int \frac{1}{t ^{2} - 6 t + 13} d t

\int ln (8 x + 1) d x

What is (\partial)/(\partial s)(e^{s^3+t^2}) ?
The answer to (\partial)/(\partial s)(e^{s^3+t^2}) is e^{s^3+t^2}*3s^2