Question:medium
The point $P(x, y)$, where $y = 4\log_e(2)$, lies on the curve with equation $y = \log_e(x^3 + 24)$. Then the value of $\frac{dy}{dx}$ at the point $P$ is
The point $P(x, y)$, where $y = 4\log_e(2)$, lies on the curve with equation $y = \log_e(x^3 + 24)$. Then the value of $\frac{dy}{dx}$ at the point $P$ is
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When given a specific $y$ value for a curve, find $x$ first. Most derivative problems at a point require both coordinates, or at least the $x$ value, for substitution into the derivative formula.
Updated On: Jun 24, 2026
- $-\frac{3}{8}$
- $\frac{3}{8}$
- $-\frac{3}{4}$
- $\frac{3}{4}$
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The Correct Option is D
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