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 = 4


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 =


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