Answers>Maths>A Level>Article

The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P

Differentiate C:dy/dx=4x+5When x=1dy/dx=4(1)+5dy/dx=9This is gradient of tangent.Gradient of normal=-1/9When x=1, y=4y-4=-1/9(x-1)y=(-1/9)x+(37/9)(-1/9)x+(37/9)=2x^2+5x-30=2x^2+(46/9)x-(64/9)x=1 or x=-32/9P at x=-32/9y=365/81P(-32/9, 365/81)

Answered by Hannah C. • Maths tutor

4114 Views

See similar Maths A Level tutors

The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P

Related Maths A Level answers

Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

Where does the circle (x-6)^2+(y-7)^2=4 intersect with y=x+3

Find the integral of y= e^3x / 1+e^x using calculus.

Find the set of values of x for which 3x^2+8x-3<0.