Logarithmic differentiation Multiple Choice Identify the letter of the choice that best completes the statement or c 7 2 (sin2 x) 1. Differentiate y = In Fhy In 2 y 7 cot x x7.Zs a. cot X 7 In(x 7 2 cot X b. y' = X с. 7x+ 2 sin x y x72 2 d. y= 7 cos x + 1 In COS X 2 7 sin x + y sin x Use logarithmic differentiation to find the derivative of 2. 90x 5x 1 y' = (5x + 1) (x a. X 60 y (5x + 1 ( - 1) b. 5x 1 60 y' = (5x + 1) (x - 1) с. 5х + 1 X 30 1' (-1)' d. y' = (5x + 5x 1 X Tx + + r

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: