# Thread: Help angle of inclination

1. ## Help angle of inclination

how do you calculate the angle of inclination of y=x2 to the nearest degree?

2. ## Re: 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 $y= x^2$ at any point".

If $\theta$ is the angle the tangent line to y= f(x) makes with x-axis than $tan(\theta)= df/dx$.

3. ## Re: Help angle of inclination

so what am i suppose to do with that? the answer is 63 degrees but how do i get that?

4. ## Re: Help angle of inclination

Originally Posted by HallsofIvy
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 $y= x^2$ at any point".

If $\theta$ is the angle the tangent line to y= f(x) makes with x-axis than $tan(\theta)= df/dx$.

so what am i suppose to do with that? the answer is 63 degrees but how do i get that?

5. ## Re: Help angle of inclination

Originally Posted by pnfuller
how do you calculate the angle of inclination of y=x2 to the nearest degree?
please post the entire problem as stated from its source ... I've never heard of the angle of inclination of a function, either.

6. ## Re: Help angle of inclination

let l be the tangent line to the parabola y=x^2 at the point (1,1). the angle of inclination of l is the angle θ that l makes with the positive direction of the x-axis. calculate θ correct to the nearest degree. i know the answer should be 63 degrees but how?
Originally Posted by skeeter
please post the entire problem as stated from its source ... I've never heard of the angle of inclination of a function, either.

7. ## Re: Help angle of inclination

The slope of the tangent line is found by evaluating the derivative of the function at the given x-coordinate.

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

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

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

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### calculate angle of inclination of tangent of f(x) at (2:3)

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