Find (d y)/(d x). y=-3 x

Name: Problem 3, Chapter 1: Calculus and Its Applications
Uploaded: 2020-10-23T17:01:32-08:00
Duration: 49 s
Channel: Suzanne W.
Description: Find (d y)/(d x). y=-3 x

step 1 We're given the function y is equal to negative 3x, and we need to find DY dX. Okay, so this is

Question

Find $\frac{d y}{d x}$. $$y=-3 x$$

   Find $\frac{d y}{d x}$.
$$y=-3 x$$

Calculus and Its Applications

Marvin L. Bittinger,… 10th Edition

Chapter 1, Problem 3

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Solved by Expert Suzanne W.

10/23/2020

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Key Concepts

Power Rule

The power rule is a basic differentiation technique that facilitates finding the derivative of functions of the form x?, where n is a constant. The rule states that the derivative of x? is n*x^(n-1), making it a straightforward method for differentiating polynomial functions.

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The constant multiple rule is an important property in differentiation which states that if a function is multiplied by a constant, its derivative is the constant multiplied by the derivative of the function. This rule simplifies the process of differentiating functions that have been scaled by a constant factor.

Differentiation

Differentiation is the process of computing the derivative, which is the measure of how a function changes as its input changes. It forms a foundational concept in calculus, allowing us to analyze rates of change and slopes of curves.

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