Question
Find the derivative of the following functions:
a. C = Q³ - 4Q² + 10Q + 75
b. Y = (2x + 3)(3x²)
c. Y = 2x-3/x + 1
a. C = Q³ - 4Q² + 10Q + 75
b. Y = (2x + 3)(3x²)
c. Y = 2x-3/x + 1
Answers
GPT 3.5
a. C = Q³ - 4Q² + 10Q + 75
C' = d/dQ(Q³) - d/dQ(4Q²) + d/dQ(10Q) + d/dQ(75)
C' = 3Q² - 8Q + 10
b. Y = (2x + 3)(3x²)
Y = 6x³ + 9x²
c. Y = 2x-3/x + 1
Y = (2x-3)(x)^(-1) + 1
Y = 2/x - 3/x^2
Y' = d/dx(2x/x) - d/dx(3/x^2)
Y' = 2/x^2 + 6/x^3
C' = d/dQ(Q³) - d/dQ(4Q²) + d/dQ(10Q) + d/dQ(75)
C' = 3Q² - 8Q + 10
b. Y = (2x + 3)(3x²)
Y = 6x³ + 9x²
c. Y = 2x-3/x + 1
Y = (2x-3)(x)^(-1) + 1
Y = 2/x - 3/x^2
Y' = d/dx(2x/x) - d/dx(3/x^2)
Y' = 2/x^2 + 6/x^3