Find the gradient of the curve with the equation y = x^3+7x^2+1 at x=2

The equation of the line is y=x³+7x²+1To find the equation for the gradient of the line, we need to differentiateDifferentiating gives us dy/dx = 3x²+14xWe can now find the gradient of the curve at any point, if we know the x co-ordinate at that pointWe want to find the gradient of the curve at x=2, so we put this into our equation for dy/dx3(2)²+14(2)=40so we know the gradient of the curve at x=2 is 40