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A Tangent at One Point

Maths / Difficulty Tier 1, Element. Focused around one main idea or observation.
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Focused around one main idea or observation.

Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.

The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.

A Tangent at One Point

Calculus / Differentiation - 2-3 min

For the function below, find the gradient of its tangent at x=2x=2. In derivative notation, this is f′(2)f'(2).

f(x)=x2+3xf(x)=x^2+3x
Assumptions

The polynomial is defined for every real x. The derivative means the instantaneous rate of change with respect to x.

Enter your answer as a number, rather than a formula for the derivative.

Exact value required.

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Collection question · Revision 1 · ID: derivative-at-point