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What is the answer I’ve been stuck on here for way too long now

What is the answer I’ve been stuck on here for way too long now-example-1
User Bardo
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The fourth derivative of (f^3) with respect to (f) is (0), as each successive derivative reduces the power of (f) until it becomes a constant.

The expression "d^4f^3/df" suggests taking the fourth derivative of f cubed with respect to f.

First Derivative (df/df):

f^3 implies f * f * f. Taking the derivative of each term with respect to f:

The first derivative is 3f^2.

Second Derivative (d^2f^3/df^2):

Taking the derivative of 3f^2 with respect to f:

The second derivative is 6f.

Third Derivative (d^3f^3/df^3):

Taking the derivative of 6f with respect to f:

The third derivative is 6.

Fourth Derivative (d^4f^3/df^4):

Taking the derivative of 6 with respect to f:

The fourth derivative is 0.

So, the fourth derivative of f^3 with respect to f is 0.

User Thiagobraga
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