the derivative is 0. the derivative of a constant is always 0.
y=(8x).5 + (4x).5 = (2+2sqrt(2))x.5 y'=(1 + sqrt(2))/sqrt(x)
simplify the square foor of 49 times x to the third time y to the sixth times the absolute value of z squared
3
You are supposed to use the chain rule for this. First step: derivative of root of sin2x is (1 / (2 root of sin 2x)) times the derivative of sin 2x. Second step: derivative of sin 2x is cos 2x times the derivative of 2x. Third step: derivative of 2x is 2. Finally, you need to multiply all the parts together.
if you take out the word ''quantity'' your answer is 25.02725024
Two times the square root of three plus five times the square root of three plus four times the square root of three equals eleven times the square root of three.
square root of 4x is 2 times square root of x, so answer is square root of x times 3 since it is 2 square roots of x plus one of them
The derivative of cos x is -sin x, the derivative of square root of x is 1/(2 root(x)). Applying the chain rule, the derivative of cos root(x) is -sin x times 1/(2 root(x)), or - sin x / (2 root x).
17.72 + ∞
24
The square root of x = x to the power of a half
the derivative is 0. the derivative of a constant is always 0.
The derivative of sqrt(2) is zero.
This one's ugly.(5 times the square root of 23 minus 4it)(5 times the square root of 23 plus 4it)where i is the square root of negative one.
It depends entirely on the value of x.
You can always add radicals, but you can't simplify unless the radicands have a common factor. For example, the square root of 20 plus the square root of 45 equals 2 times the square root of 5 plus 3 times the square root of 5, which is 5 times the square root of 5.