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The derivative of x is not x. X is the same as x^1, so you use the power rule which decreases the power by one and brings the exponent down, giving 1x^0, which is equal to 1.

Q: Who discovered that the derivative of ex equals ex?

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The derivative of ex is ex. The derivative of ex is e.

The derivative of ex is ex

Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?

The derivative of 10x is 10. This is irrespective of the value of x.

The derivative of sin (x) is cos (x). It does not work the other way around, though. The derivative of cos (x) is -sin (x).

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Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.

The derivative of ex is ex. The derivative of ex is e.

The derivative of ex is ex

Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?

The derivative of 10x is 10. This is irrespective of the value of x.

I suppose you mean ex. The derivate is also ex.

x = 10x, so derivative = 10

The derivative of sin (x) is cos (x). It does not work the other way around, though. The derivative of cos (x) is -sin (x).

The derivative of cos(x) equals -sin(x); therefore, the anti-derivative of -sin(x) equals cos(x).

Find the derivative of Y and then divide that by the derivative of A

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The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.