A curve has equation y=x^2 + 2x +5. Find the coordinates of the point at which the gradient is equal to 1.

dy/dx= 2x+2 , gradient is equal to 1 so dy/dx also equals 1.1=2x+2-1=2xx=-1/2plug this value of x into the equation to get y=17/4

NL

Related Maths A Level answers

All answers ▸

What is a parametric equation?


One important question type to be able to answer is integrating squared trig functions. like cos^2(x)


How do you integrate the natural logarithm ln(x)?


Integrate cos(4x)+16x^3 with respect to x