Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

(a(i))[1]

Find the value of $f(2)$.

(a(ii))[3]

Solve $f(x)=0$ for $-1.5 \leq x \leq 5$.

(a(iii))[1]

Find the least possible value of $k$.

(a(iv))[2]

On the grid, draw a line $y=mx$ so that $f(x)=mx$ has only one solution for $-1.5 \leq x \leq 5$.

(b(i))[3]

Find the value of $\dfrac{dy}{dx}$ when $x=5$.

(b(ii))[2]

Find the coordinates of the point on the graph of $y=3x^2-12x+7$ where the gradient is $0$.

(c)[2]

Find the value of $p$ and the value of $q$.

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