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There is no operator between x2and 16.
-1/(2*x2)
The derivative, with respect to x, is -x/sqrt(1-x2)
d/dx (x2+ 9)1/2= 1/2*(x2+ 9)-1/22x = x(x2+ 9)-1/2or x/(x2+ 9)1/2
x2 = 16take the root square for both sides the result will be :X = +4 or -4
The roots ARE the answer(s).x2 - 16 = 0Add 16 to each side of the equation:x2 = 16Take the square root of each side:x = -4 or +4 .
-1/(2*x2)
The derivative, with respect to x, is -x/sqrt(1-x2)
0
square root of (x2 + 1) = no simplification (square root of x2) + 1 = x + 1
-1
x2 square root of x is an expression, not an equation or inequality. It, therefore, has no answer.
d/dx (x2+ 9)1/2= 1/2*(x2+ 9)-1/22x = x(x2+ 9)-1/2or x/(x2+ 9)1/2
x2 = 16take the root square for both sides the result will be :X = +4 or -4
The roots ARE the answer(s).x2 - 16 = 0Add 16 to each side of the equation:x2 = 16Take the square root of each side:x = -4 or +4 .
It can be factored. Whether the factored form is simpler or not is a matter of opinion.sqrt( 16 - x2 ) = sqrt [ (4 + x) (4 - x) ]
It is an equation with no real solutions - only complex ones. x2 + 302 = 162 x2 + 900 = 256 x2 = -644 So x = ±25.38*i, where i is the imaginary square root of -1.
y = (square root 1- x2) + (cube root x2)