Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

find the derivative of f(x)=3x+5​

Sagot :

rafikiedu14

Answer: Derivative of f(x) =3x+5=3

Step-by-step explanation:

By the Sum Rule, the derivative of 3x+5 with respect to x is d/dx[3x]+d/dx[5]

d/dx[3x]+d/dx[5]

evaluate:  d/dx[3x]

Since 3 is constant with respect to x, the derivative of 3x with respect to x is 3d/dx[x].

3d/dx[x]+d/dx[5]

Differentiate using the power rule

which states that d/dx[[tex]x^{n}[/tex]] is [tex]nx^{n-1}[/tex]    where n=1.

3⋅1+d/dx[5]

Multiply 3 by 1.

3+d/dx[5]

Differentiate using the Constant Rule.

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

3+0

Add 3 and 0 = 3

So, derivative of f(x) =3x+5=3

Learn more about area here https://brainly.in/question/1044252

#SPJ9

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.