Determine the derivative of the function:
$y=3^{x^{2+1}}$

Answer

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Answer

Final Answer: The derivative of the function $y=3^{x^{2+1}}$ is $\boxed{2*3^{x^{2+1}}*x*\log(3)}$.

Steps

Step 1 ：Given the function $y=3^{x^{2+1}}$.

Step 2 ：We need to find the derivative of this function.

Step 3 ：We can use the chain rule of differentiation which states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 4 ：In this case, the outer function is $3^u$ and the inner function is $x^{2+1}$.

Step 5 ：The derivative of the function $y=3^{x^{2+1}}$ is $2*3^{x^{2+1}}*x*\log(3)$.

Step 6 ：Final Answer: The derivative of the function $y=3^{x^{2+1}}$ is $\boxed{2*3^{x^{2+1}}*x*\log(3)}$.

Determine the derivative of the function: $y=3^{x^{2+1}}$

Answer

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Determine the derivative of the function:
$y=3^{x^{2+1}}$