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

Wiki User

2009-11-16 23:58:35

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)

Wiki User

2009-11-16 23:58:35
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Wiki User

2009-11-16 23:58:35

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)