Find the The Slopes of the tangent and the normal to the following curves at the indicated points :

Question

Find the The Slopes of the tangent and the normal to the following curves at the indicated points : at x = 9

Philoid · Accepted Answer

Given:

y = at x = 9

First, we have to find of given function, f(x),i.e, to find the derivative of f(x)

⇒ y =

⇒ y = (

(xⁿ) = n.x^{n – 1}

The Slope of the tangent is

⇒ y = (

Since, x = 9

_{x = 9} =

The Slope of the tangent at x = 9 is

⇒ The Slope of the normal =

⇒ The Slope of the normal = – 6