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step 4 of 5: find \\(f^{(4)}(x)\\). \\(f(x) = \\sin x\\) answer 2 point…

Question

step 4 of 5: find \\(f^{(4)}(x)\\).

\\(f(x) = \sin x\\)

answer 2 points

\\(f^{(4)}(x) =\\)

Explanation:

Find the first derivative

$$ f'(x) = \frac{d}{dx}(\sin x) = \cos x $$

Find the second and third derivatives

$$ LATEXBLOCK0 $$

Find the fourth derivative

$$ f^{(4)}(x) = \frac{d}{dx}(-\cos x) = \sin x $$

Answer:

Step 4 of 5: Find \(f^{(4)}(x)\).

Given \(f(x) = \sin x\), then \(f^{(4)}(x) =\) <blank>\(\sin x\)</blank>.