find the equation of the tangent to the curve y=2x^3+3 at the point where x= -2

know to differentiate to find the gradient of the tangent: y=2x3+3, dy/dx= 6x2When x=-2, dy/dx= 24When x=-2, y=2(-2)3+3, y= -13equation of a tangent is y=mx+c, where y=-13, x=-2 and m=24. Evaluate for c: -13=24(-2)+c, -13=-48+c, -13+48=c, c=35equation of the tangent: y=24x+35

DH

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations x + y = 2 and x^2 + 2y = 12


Solve the simultaneous equations for x and y: 9x-2y=7 4x-2y=2


Differentiate dy/dx ((2x^3)+(x^2)-(4x)+7)


Solve the simultaneous equations 3x - y = 5, x + 2y = -3