Obtain the derivative of 𝑧=(2𝑥-𝑦)(𝑥+3𝑦) with respect to yQuestion 10Answera.5𝑥-6𝑦b.(2𝑥-1)(𝑥+3)c.4𝑥+5𝑦d.(2-𝑦)(1+3𝑦)

Question

Obtain the derivative of 𝑧=(2𝑥-𝑦)(𝑥+3𝑦) with respect to yQuestion 10Answera.5𝑥-6𝑦b.(2𝑥-1)(𝑥+3)c.4𝑥+5𝑦d.(2-𝑦)(1+3𝑦)
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Solution 1

Para obtener la derivada de ( z = (2x - y)(x + 3y) ) con respecto a ( y ), utilizamos la regla del producto. La regla del producto establece que si ( z = u \cdot v ), entonces ( \frac{dz}{dy} = u \cdot \frac{dv}{dy} + v \cdot \frac{du}{dy} ).

Primero, definimos: ( u = 2x - y ) ( v = x + Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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