SOLUTION: What is the slope of the line tangent to the curve at a given value of x? f(x)= 8x^2 + 5x at x= 3

Question 828628: What is the slope of the line tangent to the curve at a given value of x?
f(x)= 8x^2 + 5x at x= 3
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
differentiate f(x):
---
f'(x) = 8*2x + 5
f'(x) = 16x + 5
---
at x=3
---
f'(3) = 16*3 + 5
f'(3) = 53
---
answer:
the slope of the tangent at x=3 is: 53
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
What is the value of the slope of the tangent to the curve f (x) = x ^ 3 - x ^ 2 - 2x (answered by ewatrrr)

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)

what the slope of the tangent line of the curve x^2-xy+y^2=3 at a point... (answered by ikleyn)

What is the slope of the line tangent to the curve y=10x^2+x At the point... (answered by Alan3354)

A curve is given: y = e^-x^2. Find the point on the curve where the slope of the tangent... (answered by Fombitz)

Find the slope of the tangent to the curve at the given point: f(x)=(√16-x),... (answered by Alan3354)

Let f(x) = x^2 - 7x What is the equation of the tangent line at P(5,f(5)). The... (answered by Alan3354,MathLover1)