Answer:
nx^(n-1).
Step-by-step explanation:
d/dx (x^n)
We multiply by n than subtract 1 from the exponent (n):
= n x^(n-1)
Numerical examples:
d(x^3) dx = 3 * x^(3-1)
= 3x^2.
d(2x^5)/dx = 5*2 x^(5-1)
= 10x^4.
Answer:
(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).
Step-by-step explanation:
Start with the general equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
Substitute -2/3 for h and -3/4 for k, and also 5 for r:
(x - [-2/3])^2 + (y - [-3/4])^2 = 5^2, or
(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).
2 · (x+4)/x-3 Is the answer. I hope it helps.
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