Q1 of 149 Page 16

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

at x = 9

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.xn – 1


The Slope of the tangent is


⇒ y = (




Since, x = 9


x = 9 =


x = 9 =


x = 9 =


x = 9 =


x = 9 =


The Slope of the tangent at x = 9 is


⇒ The Slope of the normal =


⇒ The Slope of the normal =


⇒ The Slope of the normal =


⇒ The Slope of the normal = – 6


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