Find the The Slopes of the tangent and the normal to the following curves at the indicated points :
Given:
y = at x = 4
First, we have to find of given function, f(x),i.e, to find the derivative of f(x)
y =
⇒ y = (
⇒ y =
(xn) = n.xn – 1
The Slope of the tangent is
Since, x = 4
x = 4 =
x = 4 =
x = 4 =
x = 4 = 3
The Slope of the tangent at x = 4 is 3
⇒ The Slope of the normal =
⇒ The Slope of the normal =
⇒ The Slope of the normal =