If $\int f(x) d x=(-5 x-9)^{15}+C$, find $f(x)$
\[
f(x)=
\]

Answer

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Answer

Therefore, the final answer is $f(x) = \boxed{-75(-5x - 9)^{14}}$.

Steps

Step 1 ：The question is asking for the derivative of the function $(-5x-9)^{15}+C$. The derivative of a function gives us the rate of change of the function at any given point, which is what $f(x)$ is in this case.

Step 2 ：We can use the power rule for differentiation, which states that the derivative of $x^n$ is $nx^{n-1}$. We also know that the derivative of a constant is zero.

Step 3 ：So, the derivative of $(-5x-9)^{15}$ is $-75(-5x - 9)^{14}$.

Step 4 ：Therefore, the final answer is $f(x) = \boxed{-75(-5x - 9)^{14}}$.

If $\int f(x) d x=(-5 x-9)^{15}+C$, find $f(x)$\[f(x)=\]

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If $\int f(x) d x=(-5 x-9)^{15}+C$, find $f(x)$
\[
f(x)=
\]