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Access custom-built, exam-style problems for differentiation. Each problem has a full solution and mark-scheme, as well as AI grading and support.
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Find ∫6−6x.
A quadratic function f has f′(x)=6−6x and a maximum value of 5.
Find f(x).
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The curves y=x4−12x+k and y=20x−2k are tangent.
Find the possible value(s) of k.
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The function f is defined by f(x)=4x3−6x2−24x−5.
Find f′(x).
Find the coordinates of the point(s) on the curve y=f(x) where the tangent is horizontal.
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The function h is defined by
Find h′(x).
Determine the gradient of the curve y=h(x) at x=2.
Determine the equation of the tangent to y=h(x) at x=2 in the form ax+by+d=0, where a,b,d∈Z.
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