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what is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)

Sagot :

Step-by-step explanation:

To find the derivative of

3x+5, apply sum rule

[tex] \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5[/tex]

The derivative of

[tex] \frac{d}{dx} kx = k[/tex]

And

[tex] \frac{d}{dx} c = 0[/tex]

So we have

[tex] \frac{d}{dx} 3x + 5 = 3[/tex]

So the derivative of the function is 3,

Since linear equations have a constant slope, the slope at any point will be 3.

So the slope of the tangent line is 3.

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