North again. 270 + 90 = 360, hence the full rotation
Answer:
Cos (5π/3)
Cos (π/6)I think this one
Product rule:


Power rule:

The exponential function is its own derivative:

Assuming the base of
is
, its derivative is

But if you mean a logarithm of arbitrary base
, we have



So we end up with


Answer:
The value of x is -3.
Step-by-step explanation:
To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.
6^x = 1/216
6^x = 1/(6^3)
Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.
6^x = 1/(6^3)
6^x = 6^-3
Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.