0
y = x^(1/2) (NB power of '1/2' mean the 'square root'.
Hence
dy/dx = (1/2)x^(-1/2)
or
dy/dx = 1/ [2x^(1/2)]
What else can I help you with?
What is the positive square root of 9?
The positive square root of 9 is 3. This is because 3 multiplied by itself (3 x 3) equals 9. In mathematics, the square root refers to a number that, when squared, gives the original number, and the positive square root is the non-negative value.
What is the positive square root of 0.0196?
The positive square root of 0.0196 is 0.14. This is because when you multiply 0.14 by itself (0.14 × 0.14), it equals 0.0196. Therefore, the answer is 0.14.
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 difference between a positive and negative square root?
The positive square root of a number is the non-negative value that, when multiplied by itself, equals the original number, while the negative square root is the negative counterpart of that value. For example, the square roots of 9 are +3 and -3, where +3 is the positive square root and -3 is the negative square root. In mathematical notation, the positive square root is often denoted as √x, while the negative square root can be expressed as -√x.
What is the derivative of the square root of 2?
The derivative of sqrt(2) is zero.
What is positive square root of 50.6944?
The positive square root of 50.6944 is approximately 7.1204. This value is obtained by taking the square root of 50.6944, which equals 7.1204. The positive square root is the non-negative value that, when multiplied by itself, equals the original number.
What is the positive and negative square roots of 256?
The positive square root of 256 is 16 because 16 multiplied by 16 equals 256. The negative square root of 256 is -16 because -16 multiplied by -16 also equals 256. In general, for any positive number x, the square roots of x are both a positive and a negative number, with the positive square root being the principal square root.
Find the principal positive square root of 4 If necessary round the answer to the nearest hundredth two decimal places?
The positive square root of 4 is 2.00 (exactly).
What is the positive square root of 9?
The positive square root of 9 is 3. This is because 3 multiplied by itself (3 x 3) equals 9. In mathematics, the square root refers to a number that, when squared, gives the original number, and the positive square root is the non-negative value.
What is the positive square root of 0.0196?
The positive square root of 0.0196 is 0.14. This is because when you multiply 0.14 by itself (0.14 × 0.14), it equals 0.0196. Therefore, the answer is 0.14.
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 square root of 2?
the derivative is 0. the derivative of a constant is always 0.
What is the difference between a positive and negative square root?
The positive square root of a number is the non-negative value that, when multiplied by itself, equals the original number, while the negative square root is the negative counterpart of that value. For example, the square roots of 9 are +3 and -3, where +3 is the positive square root and -3 is the negative square root. In mathematical notation, the positive square root is often denoted as √x, while the negative square root can be expressed as -√x.
What is the derivative of the square root of 2?
The derivative of sqrt(2) is zero.
The square root of 100?
The square root of any negative number is i times the square root of the corresponding positive number. In this case, 10i.
What is a square root of 484?
The square root of 484 is 22, since 22 multiplied by itself (22 x 22) equals 484. Thus, 22 is the positive square root of 484.
What are the two square roots of 256?
A positive number has two square roots, its principal (positive) root and its negative root. This is because a negative number multiplied by a negative number equals a positive number. In this instance, the square roots of 256 are 16 and -16.
