**Spam answers will not be tolerated** Please evaluate the Derivative using the Limit Process. Show all workings.

Step-by-step explanation:

We have the function:

And we want to find the derivative using the limit process.

Recall that the definition of a derivative is:

Therefore, by substitution:

First and foremost, we can move the constant factor outside of the limit:

Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:

Distribute:

Distribute and simplify:

Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:

Simplify:

Cancel like terms:

Now, we can use direct substitution. Hence:

Simplify:

Multiply:

Reduce and rewrite:

Simplify:

Therefore:

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step-by-step explanation:

i hope this : )

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3