SOLUTION: Can anyone help with the following problem? What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x = 1

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Can anyone help with the following problem? What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x = 1      Log On


   

Question 439621: Can anyone help with the following problem?
What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x = 1
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x = 1
y = 2x^4 + x^3 + 6x
y' = 8x^3 + 3x^2 + 6
y'(1) = 8(1)^3 + 3(1)^2 + 6
y'(1) = 8 + 3 + 6
y'(1) = 17 (slope when x=1)