Mathematics, 28.10.2020 17:50, emilypzamora11

The derivative of y = 57x-4

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answered: raulflores01

$\displaystyle y' = 57$

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = 57x - 4$

Step 2: Differentiate

Derivative Property [Addition/Subtraction]: $\displaystyle y' = \frac{d}{dx}[57x] - \frac{d}{dx}[4]$ Derivative Property [Multiplied Constant]: $\displaystyle y' = 57 \frac{d}{dx}[x] - \frac{d}{dx}[4]$ Basic Power Rule: $\displaystyle y' = 57$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

answered: Guest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

What is the length of the unknown leg in the right triangle ?

answered: Guest

Idon’t know this and this isn’t middle school work
Find the mean absolute deviation for all of them plz will mark brainiest and will give 40 points la