To differentiate the function y = 3√x, we first need to rewrite the function in a form that's easier to differentiate. We can rewrite the square root of x as x^(1/2). So, y = 3x^(1/2).

Now, we can use the power rule for differentiation, which states that the derivative of x^n is n*x^(n-1).

Applying the power rule to our function gives us:

dy/dx = 3*(1/2)*x^(1/2 - 1) = 3/2 * x^(-1/2).

This is the derivative of the function y = 3√x.

Question

To differentiate the function y = 3√x, we first need to rewrite the function in a form that's easier to differentiate. We can rewrite the square root of x as x^(1/2). So, y = 3x^(1/2).

Now, we can use the power rule for differentiation, which states that the derivative of x^n is n*x^(n-1).

Applying the power rule to our function gives us:

dy/dx = 3*(1/2)*x^(1/2 - 1) = 3/2 * x^(-1/2).

This is the derivative of the function y = 3√x.

Knowee AI · Accepted Answer

To differentiate the function y = 3√x, we first need to rewrite the function in a form that's easier to differentiate. We can rewrite the square root of x as x^(1/2). So, y = 3x^(1/2).

Now, we can use the power rule for differentiation, which states that the derivative of x^n is n*x^(n-1).

Applying the power rule to our function gives us:

dy/dx = 3*(1/2)*x^(1/2 - 1) = 3/2 * x^(-1/2).

This is the derivative of the function y = 3√x.

Differentiate 𝑦=3𝑥‾‾√

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