Question
Find the derivative of y = 5L² - L³/6
Answers
GPT 3.5
To find the derivative of y = 5L² - L³/6, we will use the power rule for differentiation.
y = 5L² - L³/6
dy/dL = 2 * 5L^(2-1) - 1/6 * 3L^(3-1)
dy/dL = 10L - (1/2)L²
dy/dL = 10L - 0.5L²
Therefore, the derivative of y = 5L² - L³/6 is dy/dL = 10L - 0.5L².
y = 5L² - L³/6
dy/dL = 2 * 5L^(2-1) - 1/6 * 3L^(3-1)
dy/dL = 10L - (1/2)L²
dy/dL = 10L - 0.5L²
Therefore, the derivative of y = 5L² - L³/6 is dy/dL = 10L - 0.5L².