sqrt(x) = x^(1/2)
The derivative is
(1 / 2) * x^(-1 / 2) = 1 / (2 * x^(1 / 2))
= 1 / (2 * sqrt(x))
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the derivative is 0. the derivative of a constant is always 0.
It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))
y=(8x).5 + (4x).5 = (2+2sqrt(2))x.5 y'=(1 + sqrt(2))/sqrt(x)
Use the power rule: It should equal (sqrt(x))*x^((sqrt(x))-1). You may, however, wish to double check your answer.
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