Tuesday

October 21, 2014

October 21, 2014

Posted by **isabella** on Tuesday, October 12, 2010 at 6:34pm.

Find the equation of the line tangent to the graph of f(t) at t = 5.

Enter the equation of the tangent line here (in terms of the variable t):

y =

- math -
**Reiny**, Tuesday, October 12, 2010 at 6:37pmI am sure you meant

f(t) = t^2 - 1

f '(t) = 2t

when t = 5

f(5) = 24

so we have the contact point (5,24)

f '(5) = 10

so the slope of the line is 10

finish it by using the method you learned to find the equation of a line, given the slope and a point

**Answer this Question**

**Related Questions**

math - f(t) = t^2 − 1 Find the equation of the line tangent to the graph ...

calculus - f(t) = − 4 t2 − t− 6 Find the equation of the line...

cal - find the equation of a quadratic function whose graph is tangent at x=1 to...

Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...

math - y = 2.5 ·4^x as the equation for the blue line shown in the graph, rather...

calculus - Write the equation of the tangent line to the curve at the indicated ...

Calculus - Find an equation for the tangent line of the function y=x+(4/x) at ...

calculus - find the equation of a quadratic function whose graph is tangent at x...

calculus - To find the equation of a line, we need the slope of the line and a ...

math - Find the slope m of the tangent line to the graph of the function at the ...