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Sati [7]
2 years ago
11

I need help with this...

Mathematics
2 answers:
ivolga24 [154]2 years ago
5 0
The slope is 2/5
Good luck
RSB [31]2 years ago
5 0

Answer:

<h2>5/2</h2>

Step-by-step explanation:

(10-5)/(4-2)=5/2

hope i helped :)

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Compute the difference​ quotient, StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h​, for the function f (
lawyer [7]

Answer:

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

\frac{f(x+h)-f(x)}{h}

So, for the function f(x)=3x^2 the difference quotient is:

To find f(x+h), plug x+h instead of x

f\left(x+h\right)=3 \left(h + x\right)^{2}

Finally,

\frac{f\left(x+h\right)-f\left(x\right)}{h}=\frac{\left(3 \left(h + x\right)^{2}\right)-\left(3 x^{2}\right)}{h}

\frac{3\left(\left(h+x\right)^2-x^2\right)}{h} \\\\\frac{3(h^2+2hx+x^2-x^2)}{h} \\\\\frac{3h\left(h+2x\right)}{h}\\\\3h+6x

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

4 0
3 years ago
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