Answers>Further Mathematics>GCSE>Article

A curve has equation y = ax^2 + 3x, when x= -1, the gradient of the curve is -5. Work out the value of a.

The gradient of a curve at a point is given by dy/dxDifferentiate the equationplug in the valuesdy/dx = 2ax + 3x = -1, dy/dx = -5-5 = 2a*-1 + 38 = 2aa = 4

Answered by Salma E. • Further Mathematics tutor

6207 Views

See similar Further Mathematics GCSE tutors

A curve has equation y = ax^2 + 3x, when x= -1, the gradient of the curve is -5. Work out the value of a.

Related Further Mathematics GCSE answers

Factorise the following quadratic x^2 - 8 + 16

Why does the discriminant b^2-4ac determine the number of roots of the quadratic equation ax^2+bx+c=0?

Find dy/dx when y=2x^(4)+3x^(-1)

Find any stationary points in the function f(x) = 3x^2 + 2x