how do you calculate the angle of inclination of y=x^{2 }to the nearest degree?

please help!!!

Printable View

- Sep 20th 2012, 01:55 PMpnfullerHelp angle of inclination
how do you calculate the angle of inclination of y=x

^{2 }to the nearest degree?

please help!!! - Sep 20th 2012, 02:21 PMHallsofIvyRe: Help angle of inclination
A function does not have an "angle of inclination"! I assume you mean "the angle of inclination with the x-axis of the tangent to the curve $\displaystyle y= x^2$ at any point".

If $\displaystyle \theta$ is the angle the tangent line to y= f(x) makes with x-axis than $\displaystyle tan(\theta)= df/dx$. - Sep 20th 2012, 03:59 PMpnfullerRe: Help angle of inclination
so what am i suppose to do with that? the answer is 63 degrees but how do i get that?

- Sep 20th 2012, 04:55 PMpnfullerRe: Help angle of inclination
- Sep 20th 2012, 05:05 PMskeeterRe: Help angle of inclination
- Sep 20th 2012, 05:41 PMpnfullerRe: Help angle of inclination
- Sep 20th 2012, 05:54 PMMarkFLRe: Help angle of inclination
The slope of the tangent line is found by evaluating the derivative of the function at the given

*x*-coordinate.

$\displaystyle y'(1)=2(1)=2$

The slope $\displaystyle m$ of a line is related to its angle of inclination $\displaystyle \theta$ by $\displaystyle m=\tan(\theta)$.

Hence, the angle of inclination is $\displaystyle \theta=\tan^{-1}(2)\approx63^{\circ}$.