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Korolek [52]
3 years ago
10

Differentiate the function. f(x) = ln(25 sin^2(x))

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0
Use the chain rule.
Let u = 25sin²(x), such that dy/dx = dy/du · du/dx

\frac{dy}{dx} = \frac{1}{25sin^{2}(x)} \cdot 50cos(x) \cdot sin(x)
\frac{dy}{dx} = \frac{2cos(x) sin(x)}{sin^{2}(x)}

\frac{dy}{dx} = 2cot(x)
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Here we need to compare the orders of magnitude of two measures.

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