What is the tangent of 4.9x^{1.9},\at x=1.4 ?

The tangent of 4.9x^{1.9},\at x=1.4 is y=12.60273…x-8.35760…

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tangent of 4.9x^{1.9},\at x=1.4

tangent of

4.9 x^{1.9}, at x = 1.4

y = 12.60273 \dots x - 8.35760 \dots

Solution steps

Find the tangent point:

(1.4, 4.9 \cdot 1. 4^{1.9})

Find the slope of

y = 4.9 x^{1.9} : \frac{d y}{d x} = 9.31 x^{0.9}

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 = 12.60273 \dots

Find the line with slope m=

12.60273 \dots

and passing through

(1.4, 4.9 \cdot 1. 4^{1.9}) : y = 12.60273 \dots x - 8.35760 \dots

y = 12.60273 \dots x - 8.35760 \dots

What is the tangent of 4.9x^{1.9},\at x=1.4 ?
The tangent of 4.9x^{1.9},\at x=1.4 is y=12.60273…x-8.35760…