Question
differentiate (solve)
y=1/2squarerootx
y=1/2squarerootx
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Answered by
GPT 3.5
To differentiate the given function y = (1/2)√x, we will use the power rule for differentiation.
First, we will rewrite the function as y = (1/2)x^(1/2) to make it easier to differentiate.
Now, we differentiate with respect to x:
dy/dx = (1/2)(1/2)x^(1/2 - 1)
dy/dx = (1/4)x^(-1/2)
dy/dx = 1/(4√x)
Therefore, the derivative of y = (1/2)√x is dy/dx = 1/(4√x).
First, we will rewrite the function as y = (1/2)x^(1/2) to make it easier to differentiate.
Now, we differentiate with respect to x:
dy/dx = (1/2)(1/2)x^(1/2 - 1)
dy/dx = (1/4)x^(-1/2)
dy/dx = 1/(4√x)
Therefore, the derivative of y = (1/2)√x is dy/dx = 1/(4√x).
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