SOLUTION: Find the slope of the curve f(x) = (4x

SOLUTION: Find the slope of the curve f(x) = (4x - 3)(2x^3 +1) at x = 1

Question 439370: Find the slope of the curve f(x) = (4x - 3)(2x^3 +1) at x = 1
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the slope of the curve f(x) = (4x - 3)(2x^3 +1) at x = 1
.
You will have to apply calculus.
f(x) = (4x - 3)(2x^3 +1)
expand with FOIL:
f(x) = 12x^4 - 6x^3 + 4x - 3
f'(x) = 48x^3 - 18x^2 + 4
.
now, substitute x=1:
f'(1) = 48(1)^3 - 18(1)^2 + 4
f'(1) = 48 - 18 + 4
f'(1) = 34
.
Slope would be 34

RELATED QUESTIONS
What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x =... (answered by Alan3354)

Let f(x)=4-x^2. The equation of the tangent line to the curve at (1,3) is 2x+y=5. a. (answered by Solver92311)

Let f(x)=4-x^2. The equation of the tangent line to the curve at (1,3) is 2x+y=5. a. (answered by Solver92311,Alan3354)

find the area under the curve of f(x)= x^3-3x^2+2x+1 from x=0, to x=1 (answered by htmentor)

What is the value of the slope of the tangent to the curve f (x) = x ^ 3 - x ^ 2 - 2x (answered by ewatrrr)

Can anyone help with the following problem? What is the slope of the tangent line to the (answered by nerdybill)

find the equations of the asymptof of the curve; y = 2x - 3 / X +... (answered by Fombitz)

At what point(s) on the curve f (x) = 2 - 4x^3 does the graph have a slope of 3... (answered by Alan3354)

At what point(s) on the curve f (x) = 2 - 4x^3 does the function have a perpendicular... (answered by ikleyn,solver91311)