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The correct answer is the following:

cos x times abs. value sin x

quantity divided by sin x

But see my web site where this is stated much more clearly. There are also graphs to illustrate the problem. See related link below for website.

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Q: What is the derivative of the absolute value of sine of x?
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Related questions

What is the anti-derivative of the absolute value of x?

It is x|x|/2 + C


What is the derivative of the absolute value of x?

The function is called the signum function, or sign(x). It is equal to abs(x)/x


What is the Derivative of sine ex?

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).


What happen sinx when you find its derivative?

The deriviative of sine(x) is cosine(x).


What is the anti derivative of 1 over x?

The anti-derivative of 1/x is ln|x| + C, where ln refers to logarithm of x to the base e and |x| refers to the absolute value of x, and C is a constant.


Why absolute value of x is not differentiable at point 0?

The absolute value of x, |x|, is defined as |x| = x, x>=0; -x, x<0. If you derive this, then you will find that the derivative is 1 when x>=0, and -1 when x<0. But this means that the derivative as x approaches 0 from the left does not equal the derivative as x approaches 0 from the right, as -1=/=1. So the limit as x approaches 0 does not exist, and therefore the gradient does not exist at that point, and so |x| cannot be differentiated at x = 0.


What is the absolute value of -19?

The absolute value of 19 is 19. If x is positive , absolute x equals x.


What is the absolute value of x minus the absolute value of x?

zero. The absolute value of a number is just the positive version of that number, so the absolute value of x is x, and x minus x is zero.


What is the derivative of 10x at x equals?

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


How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?

The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)


What is the anti derivative of 1 divided by x?

If f(x)=1/x then F(x)=antiderivative of f(x)=ln(|x|) (the natural log of the absolute value of x) There's another way of reading this question. The anti derivative of 1 is x+c. Dividing that by x gives you 1 + c/x


What does the derivative graph mean?

I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).