Question

Slope of the curve y=3 x^{2}+4 xy=3x 2 +4x at x=1x=1 is

Answer 1

Heye

your answer ⏬

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$eq \: of \: the \: curve \: y = {3x}^{2} - x + 1 \\ slope \: \frac{dy}{dx} = 6x - 1 \\ slope \: at \: (1 \: and \: 3) = 6 \times 1 - 1 = 5 \\ we \: know \: the \: tangent \: eq \: or \: eg \\ of \: straight \: line \: is \: y = mx + c \\ put \: the \: value \: m = 5 \: (1 \: and \: 3) \\ 3 = 5 \times 1 + c \\ c = 5 - 3 = - 2 \\ y = mx + cy = 5x - 2 \: \\ \\ \\ is \: your \: answer \:$

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