The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Let's apply this rule to each term of the function 6x^3 - 3/2x^2.

For the first term, 6x^3, the derivative is 3*6*x^(3-1) = 18x^2.

For the second term, -3/2x^2, the derivative is 2*(-3/2)*x^(2-1) = -3x.

So, the derivative of the function 6x^3 - 3/2x^2 is 18x^2 - 3x, which corresponds to option b.

Question

The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Let's apply this rule to each term of the function 6x^3 - 3/2x^2.

For the first term, 6x^3, the derivative is 3*6*x^(3-1) = 18x^2.

For the second term, -3/2x^2, the derivative is 2*(-3/2)*x^(2-1) = -3x.

So, the derivative of the function 6x^3 - 3/2x^2 is 18x^2 - 3x, which corresponds to option b.

Knowee AI · Accepted Answer

The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Let's apply this rule to each term of the function 6x^3 - 3/2x^2.

For the first term, 6x^3, the derivative is 3*6*x^(3-1) = 18x^2.

For the second term, -3/2x^2, the derivative is 2*(-3/2)*x^(2-1) = -3x.

So, the derivative of the function 6x^3 - 3/2x^2 is 18x^2 - 3x, which corresponds to option b.

Find the derivative of 6x^3−3/2x^2.a.6x^2−3/4xb.18x^2−3x^2c.6x^2−3/2xd.18x^2−3/4xe.18x^2−6x^2