Table of Contents
Is sin Mod X differentiable?
The function ( mod sin x ) is not differentiable at the cusps, i.e. x = n pi where n is an integer.
Is sin Mod X is a continuous function?
The function f(x)=[sinx] is not continuous at ([x] is the greatest integer less than or equal to x)
What is the range of the sin function?
[-1, 1
The range of the sine function is from [-1, 1]. The period of the tangent function is π, whereas the period for both sine and cosine is 2π.
Are sine graphs differentiable?
Theorem The function sin x is differentiable everywhere, and its derivative is cos x. At each point, the slope of the curve sin x is given by the derivative, namely cos x. Indeed, you can see that when sin x has zero slope cosine has value 0, and so on.
Why is sinx continuous?
with p(x),q(x) polynomials, are continuous wherever defined (so f is continuous wherever q(x) = 0). sin x = sin c, so sin x is continuous for all x. Similarly for cos x.
How is sinx continuous?
The function is continuous. Consider the projection , which is itself a continuous function. Then sinx is the composition of the two continuous functions and is therefore continuous as the composition of continuous functions.
What is the formula to find Cos Mod X?
=> d (sin|x|)/dx = cos|x| * (|x|/x). This might be the answer.. Sin mod x is a composite function so we will differwntiate sin mod x as cos mod x and then mod x as mod x \\ x so the final result will be cos mod x. |x/x… |
How do you plot a graph for a modulus function?
Now let us plot a graph for modulus function. Let x be variable whose values lies from -3 to 3, which is the domain of the graph. So, the range of function f (x) should be always positive for all values of x, as per the definition.
How do you find the value of y=sin|x|?
To get y=|sinx| reflect all the parts of sinx that are below x-axis with respect to x-axis. To get y=sin|x|, remove left half of graph y=sinx (for x<=0), take the right hand part of sinx (for x>=0) and reflect it with respect to y-axis.
What is the difference between sin^30 and sin^2x?
Sin x^2 is the “sine of (x-squared)”,so it is an ordinary sine function. Sin^2 x is “sine-squared of x” which is a different function from the sine function. i.e. sin^ 30 = (sin 30)^2 = 1/2……it is a chain function of “sine of x quantity squared”, so you would solve sin x first and then take the square.