Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

The curve $y = f (x) = a x^{3} + b x^{2} + c x + 5$ touches the x-axis at $P (- 2, 0)$ and cuts the y-axis at a point Q where its gradient is 3.

The value of $f (2)$ is

Answer:

Solution:

$f (x) = - \frac{1}{2} x^{3} - \frac{3}{4} x^{2} + 3 x + 5$ $f (2) = - \frac{8}{2} - \frac{12}{4} + 6 + 5 = - 4 - 3 + 6 + 5 = 4$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: QB

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