Find the derivatives of the functions . 1. y = x5 - 0.125x2 + 0.25x 3. y = x3 - 3(x2 + p2) 5. y = (x + 1) ^2(x2 + 2x)

Q 4. Use ab-initio method and find the derivative of 3x +5x – 2x-12.

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The value of a car decreases each year. The rate at which the value decreases is called depreciation and is a represented by a percentage. For Alina buys a car for $25,000, and the depreciation rate is 25%. That means that her car’s value goes down by 25% each year. The value can be represented by the function V(y)=25000(0.75)^v, where V represents the value of her car and y represents the number of years that she owns a car. Find the depreciated value of her car if she keeps it for 5 years. In other words, evaluate: V(5)=25000(0.75)^5, rounding to the proper decimal place for money.

The first derivative of f(x) = (5x* – 6x)-3 will be. 18 – 60x3 В. (5x* – 6x)ª 18 – 60x3 А. (5x* — 6х)- 18 – 60x3 18 – 60x3 C. (5x* — 6х)2 D. (5x* – 6x)-2 Select one: O B O A

What is the second derivative of

Given the function f(x) = 3x^2 -5x + 3. Calculate the value f(2)?

Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

I. Differentiate each of the following:

Which step is part of finding the derivative of the function below? The correct choice may not be in simplified form. (4x + 5)(3x y (12r²) (3x² - 7) + (4x³+5) (6x) y (122²) (3x²-7) - (4x³+5) (6x) y = (12x²) (6x) y=12x5-28x³ + 15x² - 35 Oy/= (12r²+5) (3x²-7)+(4x³+5) (6x - 7) none of the above 3 80