Ask a New Question

Question

4. For the curve with y = -2x3 + x - 6, find:




(b.) the gradient at the point (-1, -5)






(c.) the equation of the tangent line at the point (-1, -5).
15 years ago

Answers

Reiny
y = -2x^3 + x - 6
dy/dx = -6x + 1

at (-1,-5), dy/dx = -6(-1) + 1 = 7

so y = -7x + b
at (-1,-5)
-5 = -7(-1) + b
b = -12

equation of tangent is y = -7x - 12
15 years ago
Hi
y = -2x^3 + x - 6
dy/dx = -6x + 1

at (-1,-5), dy/dx = -6(-1) + 1 = 7

so y = -7x + b
at (-1,-5)
-5 = -7(-1) + b
b = -12

equation of tangent is y = -7x - 12
15 years ago

Related Questions

The curve y = x/(1 + x^2) is called a serpentine. Find an equation of the tangent line to this cur... for the curve y^3+(1/2)xy=1 find a formula for dy/dx in terms of x and y and find the equation of th... the curve f(x)=x^2 from x=0 to x=4 is revoloved around the axis x=5. Determine the volume of the s... The curve 3y^2- 3xy +2x^3 = 7 has vertical tangents when: a. y=x b. y=2x c. 2y=x d. y=3x e. 3... Consider the curve -8x^2+5xy+y^3=-149 1. Find Dy/dx 2. write an equation for the line tangent... how do we know if the curve theta = pi/2 is a circle, or semicircle, or spiral? I've tried to cha... Consider the curve below. x = (cos(t))^2 y = cos(t) 0 ≤ t ≤ 6π (a) Find the distance traveled by... for the curve x^2+z^2+2gx+2hy=0 value of dy/dx at(0,0) is A. -g/h B. g/h C. h/g D. None Ple... A car is going around a curve of radius 225 meters at constant speed. The centripetal acceleration...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use