whats the derivative of 2x+3?

2

2

2

2

this is an easy question. there are 2 ways to do it by the definition or by using the differnation rules.

Definition

1 write the expressions for f(x) and f(x+h)

2 expand and simplify the difference quotient

f(x+h)- f(x)/ h

3 using the simplified quotient, find f `(x) by evaluation the limit

f `(x)=lim f(x+h)- f(x)/ h

h->0

power rule

d/dx x^n=nx^n-1

so we use the power rule less work. since u have a choice. we us the power rule

so d/dx 2x+3= 2

ps 3 is a consant. derative of a constant is d/dx c=0

so it would be like 2+0=2

see i told you this was an easy question

I believe it is equal to 2. in the 2x component the x goes to 1 so 2*1=2 and the 3 is a constant so it goes to zero. haven't taken calc in ages though but i'm pretty sure I'm right.

The answer is 2

ax^p + bx^q = p x x^p-1 + q x x^q-1

2x + 3 = 2x + 3x^0 = 1 x 2x^0 + 0 = 2

d/dx{2x]+d/dx[3]

2 + 0

2

Derivative w.r.t. what.

Its derivative w.r.t.x is 2.