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Q: What is the derivative of the cube root of x?
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Continue Learning about Algebra

What is the square root of 192?

5.76899828 orFactor the 192:=8x24=8 x 8 x 3remember that cube root of 8 is 2, so you have:2 x 2 (cube root of 3) = 4 cube root of 3for the x^9, cube root is x^(9/3) = x^3final answer:4x^3(cube root 3)that's' it! ;)


What is the cube root of x?

x^1/3


What is the derivative of 1 divided by root x?

(1/2(x^-1/2))/x


How do you find the cube root of a negative number?

If the negative number is "-a", then you can say the cube root is "-(cube root of a)" Because if you cube a negative number, you get a negative number. So if you cube root a negative number, you get a negative number. Ex) cube root of -8 = -2 Because (-2)^3 = -8 But if you want to find the complex cube roots, you can make an equation: "x^3=-a" or "x^3+a=0" We know one of the roots is "-(cube root of a)" so you can factor the equation by (x+(cube root of a)) And then you use the quadratic formula for the quadratic equation you're left with. Ex) x^3=-8 or x^3+8=0 Since -2 is a root, factor it by (x+2) x^3+8=(x+2)(x^2-2x+4) Using the quadratic formula, you get "1+i√3" and "1-i√3" Therefore the three cube roots of -8 is <"-2", "1+i√3", "1-i√3">


What is the difference between a cube and a cube root?

A cube is a three-dimensional shape with six equal square faces, where all edges are of equal length. On the other hand, a cube root is a mathematical operation that finds the number that, when multiplied by itself three times, gives a certain value. In simpler terms, a cube is a shape, while a cube root is a mathematical operation.

Related questions

How do you differentiate cosine square root of x?

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).


What is the inverse of the cube root of x?

the inverse of the cube root of x is 2


What is the cube route of -3?

There is no such thing as a cube route. The cube root of -3 is -1.4422 (approx).There is no such thing as a cube route. The cube root of -3 is -1.4422 (approx).There is no such thing as a cube route. The cube root of -3 is -1.4422 (approx).There is no such thing as a cube route. The cube root of -3 is -1.4422 (approx).


How do you get the derivative of a square root?

The square root of x = x to the power of a half


What is the derivative of 6 divided by cube root of X?

d/dx of 6*x^(-1/3) = (-6/3)*x^(-4/3) = -2*x^(-4/3), by power rule


What is the square root of 192?

5.76899828 orFactor the 192:=8x24=8 x 8 x 3remember that cube root of 8 is 2, so you have:2 x 2 (cube root of 3) = 4 cube root of 3for the x^9, cube root is x^(9/3) = x^3final answer:4x^3(cube root 3)that's' it! ;)


What is the derivative of square root of x-5?

Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.


What is the derivative of x raised to the 1 plus square root of 2?

If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)


What is the square root and cube root of 64?

square root is 8 (8 x 8 = 64)cube root is 4 (4 x 4 x 4 = 64)


What is the derivative of root x?

1/2rootx


What is cube root of 64?

cube root of 64 = 4 4 x 4 = 16, and 16 x 4 = 64 4 cube = 64


What is the derivative of the square root of one minus x squared?

The derivative, with respect to x, is -x/sqrt(1-x2)