Posted by **Calculus** on Thursday, October 7, 2010 at 3:49pm.

Find the critical numbers of the function g(t)=|5t-7|

If you find g'(t) you just get 5 so would there be no critical numbers? Or am I missing something?

- Calculus -
**Reiny**, Thursday, October 7, 2010 at 5:30pm
your graph consists of two straight lines

y = 5t-7 and y = -5t + 7 where you only want the part above the t-axis (x-axis normally)

The two lines meet on the t-axis at the point (7/5 , 0)

That point is called a "cusp" and it would be the only critical number.

Differentiating the function would be over-kill since when you find the derivative of a straight line, you just get the slope, which we knew already anyway.

## Answer this Question

## Related Questions

- Calculus - How do you find the critical numbers and the end points of this ...
- help please! - f(x)=x+1/x Find all critical numbers. Find where the function is ...
- calculus - Please help!! *f(x)= x(x+6)^1/2 find two x intercepts. Then show that...
- Math - Find any critical numbers of the function. (Enter your answers as a comma...
- Calculus - Consider the function f(x)=ln(x)/x^6. For this function there are two...
- Calculus - If y= (x^2+20)/(x-4) Find all critical Numbers. After get f' i got ...
- Math - 2x^3+3x^2-120x to find the critical numbers I took the derivative which ...
- Calculus - Find the critical numbers of the function. h(t)=t^3/4-6^1/4
- Calculus - find the critical numbers of the function: h(p)=p-1/p^2+4
- Calculus 1 - Find the critical numbers of the function. f(x) = x^4*e^-8x