A curve has equation y=x3+px2+qx−5y = x^3 + px^2 + qx - 5y=x3+px2+qx−5 where p p\,p and q q\,q are constants.
The curve passes through the point A(2,1)A(2, 1)A(2,1), and the gradient of the curve at A A\,A is 5.
Find the value of p p\,p and the value of qqq.
43 exam-style questions on WJEC A Level Maths 1.7 Differentiation, covering 1.7.1 Differentiation, 1.7.2 Differentiation, 1.7.3 Differentiation, 1.7.4 Differentiation, 1.7.5 Differentiation, and 1.7.6 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.