What is the equation of the tangent to the curve:𝑦=2𝑥3+𝑥2y=2x 3 +x 2 y, equals, 2, x, cubed, plus, x, squaredat the point where 𝑥=2x=2x, equals, 2?
Question
Solution 1
Para encontrar la ecuación de la tangente a la curva ( y = 2x^3 + x^2 ) en el punto donde ( x = 2 ), sigue estos pasos:
Encuentra el valor de ( y ) en ( x = 2 ): [ y = 2(2)^3 + (2)^2 = 2 \cdot 8 + 4 = 16 + 4 = 20 ] Entonces, el punto de tangencia es ( (2, 20) ).
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