Easy -1.8 This is a trivial differentiation question requiring only the power rule applied to a polynomial, with immediate substitution of x=0. The answer is simply the coefficient of x (which is 7), and it's multiple choice with 1 mark, making it one of the easiest possible A-level questions.
A curve has equation \(y = x^5 + 4x^3 + 7x + q\) where \(q\) is a positive constant.
Find the gradient of the curve at the point where \(x = 0\)
Circle your answer.
[1 mark]
\(0\) \quad \(4\) \quad \(7\) \quad \(q\)
A curve has equation $y = x^5 + 4x^3 + 7x + q$ where $q$ is a positive constant.
Find the gradient of the curve at the point where $x = 0$
Circle your answer.
[1 mark]
$0$ \quad $4$ \quad $7$ \quad $q$
\hfill \mbox{\textit{AQA Paper 3 2018 Q2 [1]}}