SOLUTION: For f(X) = X^4, the derivative is known to be -4 at X = -1. find the equation of the tangent line to the graph of y = f(X) at the point with x-coordinate -1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For f(X) = X^4, the derivative is known to be -4 at X = -1. find the equation of the tangent line to the graph of y = f(X) at the point with x-coordinate -1       Log On


   



Question 1026733: For f(X) = X^4, the derivative is known to be -4 at X = -1. find the equation of the tangent line to the graph of y = f(X) at the point with x-coordinate -1
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The line has slope -4 and goes through point with x= -1, and therefore f(x)=(-1)^4=1
y-1=-4(x+1)
y-1=-4x-4;
y= -4x-3
graph%28300%2C200%2C-5%2C5%2C-2%2C80%2Cx%5E4%2C-4x-3%29
graph%28300%2C200%2C-2%2C2%2C-2%2C20%2Cx%5E4%2C-4x-3%29
graph%28300%2C200%2C-2%2C0%2C-2%2C80%2Cx%5E4%2C-4x-3%29