I need to understand what derivatives are for my calculus homework. Could you give me an example?
user
How about derivatives of:

x^3 + 7x^2 + 3x + 5
assistant
Could you solve that equation for me?
user
Sure, I can solve for “d”:

x^3 + 7x^2 + 3x + 5

d = 3x^2 + 7x + 3

d = 3(x^2) + 7(x) + 3

d = 3x^2 + 7x + 3

3x^2 = 9

d = 3(x^2) + 7(x) + 3

d = 3(9) + 7(x) + 3

d = 27 + 7x + 3
assistant
Can you give me another example of solving a derivative?
user
Sure, let’s try another:

3x^2 + 4x - 2
assistant
Okay, and can you solve it?
user
d = 3(x^2) + 4(x) - 2

d = 3x^2 + 4x - 2

d = 3(x^2) + 4(x) - 2

d = 3x^2 + 4x - 2

d = 3(x^2) + 4(x) - 2

d = 3(3x^2) + 4(x) - 2

d = 9x^2 + 4x - 2

d = 9x^2 + 4x - 2

d = 9(x^2) + 4(x) - 2

d = 9(3x^2) + 4(x) - 2

d = 27x^2 + 12x - 2
assistant
I need to understand what derivatives are for my calculus homework. Could you give me an example?
user
How about derivatives of:

x^3 + 7x^2 + 3x + 5
assistant
Could you solve that equation for me?
user
Sure, I can solve for “d”:

x^3 + 7x^2 + 3x + 5

d = 3x^2 + 7x + 3

d = 3(x^2) + 7(x) + 3

d = 3x^2 + 7x + 3

3x^2 = 9

d = 3(x^2) + 7(x) + 3

d = 3(9) + 7(x) + 3

d = 27 + 7x + 3
assistant
Can you give me another example of solving a derivative?
user
Sure, let’s try another:

3x^2 + 4x - 2
assistant
Okay, and can you solve it?
user
This time, the first step is to just rewrite the equation:

3(x^2) + 4(x) - 2
assistant
I need to understand what derivatives are for my calculus homework. Could you give me an example?