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Maths · Guided practice

The tangent to a parabola

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DERIVATIVES
Let ff be the function defined on R\mathbb{R} by f(x)=x2−3x+2f(x) = x^2 - 3x + 2, and Cf\mathcal{C}_f its curve.
Selected question
1
Calculate f′(x)f'(x).
differentiate
2
Find an equation of the tangent TT to Cf\mathcal{C}_f at the point where a=2a = 2.
tangent
3
Study the sign of f′(x)f'(x) and deduce how ff varies.
variations

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