Need help taking the derivative of these 2 equations

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There is no b in either expression. In summary, the first derivative is y` = s and the second derivative is y` = 3sx^2+1.
  • #1
noname1
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Need help taking the derivative of these 2 equations

sx+t

sx^3+x+2t


for the first i believe its
y` = s

for the second i am not sure if its but i believe its the first one

y` = 3sx^2+1

or

y` = 3sx^2+1+2


is this correct? the second one is kind of throwing me off with the b
 
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  • #2


noname1 said:
Need help taking the derivative of these 2 equations

sx+t

sx^3+x+2t

With respect to which variable? s, x, or t?
 
  • #3


to x, s and t are constants
 
  • #4


noname1 said:
Need help taking the derivative of these 2 equations

sx+t

sx^3+x+2t
First off, these aren't equations. They are just expressions.
noname1 said:
for the first i believe its
y` = s
Yes.
noname1 said:
for the second i am not sure if its but i believe its the first one

y` = 3sx^2+1
Yes.
noname1 said:
or
No. From what you said in a later post, s and t are constants, so d/dx(t) = 0.
noname1 said:
y` = 3sx^2+1+2


is this correct? the second one is kind of throwing me off with the b
What b?
 

1. What is a derivative?

A derivative is a mathematical concept that represents the rate of change of a function with respect to its independent variable. It can also be thought of as the slope of a tangent line at a specific point on the graph of the function.

2. Why do we need to take derivatives?

Derivatives are important in many areas of science, including physics, engineering, and economics. They allow us to analyze how quantities change over time or in response to other variables, and they can help us find maximum and minimum values of functions.

3. How do you take the derivative of a function?

To take the derivative of a function, you can use various methods depending on the type of function. For polynomials, you can use the power rule, for exponential functions, you can use the exponential rule, and for trigonometric functions, you can use the trigonometric rule. There are also more advanced techniques like the chain rule and product rule for more complex functions.

4. Can you take the derivative of any function?

Not all functions have a derivative. Functions that are not continuous or do not have a defined slope at certain points do not have a derivative. Additionally, some functions may have a derivative at some points but not at others.

5. How can I check if I have taken the derivative correctly?

You can check if you have taken the derivative correctly by taking the derivative using a different method or by using online tools or software to calculate the derivative. You can also graph the original function and its derivative to visually compare the slopes at different points.

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