Question:medium
If $f(x)=(2x+3)e^{5x}$, then $f^{\prime\prime}(1)-10f^{\prime}(1)$ is equal to
If $f(x)=(2x+3)e^{5x}$, then $f^{\prime\prime}(1)-10f^{\prime}(1)$ is equal to
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Logic Tip: Always factor out the exponential term $e^{kx}$ immediately after taking a derivative. Distributing it creates multiple product rule scenarios in the next step, massively increasing the risk of arithmetic errors.
Updated On: Apr 27, 2026
- $250e^{5}$
- $125e^{5}$
- $25e^{5}$
- $-25e^{5}$
- $-125e^{5}$
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The Correct Option is
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