Wednesday
May 22, 2013

# Homework Help: math

Posted by Anonymous on Thursday, September 22, 2011 at 1:28pm.

Find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2

• math - Steve, Thursday, September 22, 2011 at 3:38pm

There are any number of curves that are tangent to the line y=5x+2 at x=3.

The line y=5x+2 has slope 5, so f'(3)=5
and f(3) touches the line at x=3, so f(3) = 17.

Related Questions

Calculus - find f(3) and f'(3), assuming that the tangent line to y=f(x) at ...
Calculus - Suppose that f(x) = (5x + -2)^(1/2) Find an equation for the tangent ...
Math - If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of ...
Math - a) determine the equation of the line that is perpendicular to the ...
cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
Calculus Please someone help - 1. Find the slope m and an equation of the ...
calculus - find,if any, an equation for a common tangent line to these 2 curves:...
math - Use implicit differentiation to find the equation of the tangent line to ...