Given

To find the derivative of the give function,we apply below exponent rule first:

So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is:
i)
Pythagorean's theorem: √50
j)
Pythagorean's theorem: √1/2
When you subtract a negative, it changes it to adding a positive.
= -2.5 - (-3.25)
= -2.5 + 3.25
= 0.75
Hope This Helped! Good Luck!
A. the first box is 7
the second box is 2
the third box is 100
the fourth box is 6.5
RULE: times 3 + 2
b. the first box is 45/2
the second box is -0.75
the third box is 0
the fourth box is 2.75
RULE: times 5/2
c. the first box is 1 1/2
the second box is 6
the third box is -4
the fourth box is -1.75
RULE: times half add one