What is the tangent of f(x)=3x-2x^{-1/2}+1,\at x=1 ?

The tangent of f(x)=3x-2x^{-1/2}+1,\at x=1 is y=4x-2

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tangent of f(x)=3x-2x^{-1/2}+1,\at x=1

tangent of

f (x) = 3 x - 2 x^{- \frac{1}{2}} + 1, at x = 1

y = 4 x - 2

Solution steps

Find the tangent point:

(1, 2)

Find the slope of

f (x) = 3 x - 2 x^{- \frac{1}{2}} + 1 : \frac{df ( x )}{d x} = \frac{1}{x ^{\frac{3}{2}}} + 3

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 4

Find the line with slope m=

4

and passing through

(1, 2) : y = 4 x - 2

y = 4 x - 2

What is the tangent of f(x)=3x-2x^{-1/2}+1,\at x=1 ?
The tangent of f(x)=3x-2x^{-1/2}+1,\at x=1 is y=4x-2