Is mod sin x differentiable at x 0?

sinx is differentiable at x=0.

Is Mod X differentiable everywhere?

Modulus function is always continuous. Given above is the graph of |x-3|. Clearly, it is continuous in its domain, but not differentiable at x = 3. Hence, all modulus function are continuous but not differentiable at some point in their domain.

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)

Is log x differentiable everywhere?

Theorem 8.1 log x is defined for all x > 0. It is everywhere differentiable, hence continuous, and is a 1-1 function. The Range of log x is (−∞, ∞).

Is mod Sinx differentiable what about COS X?

The graph of the cos x is, As we know the property of cos x which is cos(- x) = cos x which means that weather there is modulus with the angle of cose or not there is no difference.

Is every differentiable function continuous?

A differentiable function is necessarily continuous (at every point where it is differentiable). It is continuously differentiable if its derivative is also a continuous function.

Is log x differentiable at x 0?

Theorem 8.1 log x is defined for all x > 0. It is everywhere differentiable, hence continuous, and is a 1-1 function.

Where is Lnx not differentiable?

The function ln(x) is continuous and differentiable for all x>0 . Therefore, 1ln(x) will be continuous and differentiable for all such values of x as well, except for those values of x where ln(x)=0 . The only such value of x where the logarithm is zero is x=1 .

Where is Sinx not differentiable?

Hi Mac, I would be guided by the graphs of the sine and cosine near x = 0. lim h->0 (cos|h| – cos|0|)/(h) = lim h->0 (cos(h) – cos|0|)/(h) = 0 (not 1 as you said in your question). Thus cos|x| is differentiable at x = 0.

Where is log x differentiable?

The function log(|x|) is differentiable everywhere except at x = 0. Bcoz the function is not continuous at x = 0, it is not differentiable at x = 0.

Is Mod X differentiable at points other than 0?

sphyics. 102. 0. f (x)= mod x is this function differentiable at all points other than 0.

Is the graph of y = mod(SiNx) differentiable?

As I often keep saying, “A picture is worth a thousand words”.This is the graph of y = mod (sinx)Graphs are are only differentiable where they are SMOOTH.Clearly, the function is not smooth at x = 0, π , 2π , 3π …In general it is not differentiable if x = nπ where n is any Integer.Note: It is always continuous though.

What does f(x) = mod x mean?

f (x)= mod x is this function differentiable at all points other than 0. What do you mean by f (x) = mod x? Usually, mod is used in an expression like “6 mod 4 = 2”, and “mod 4” by itself doesn’t really mean anything. Did you mean “f (x) = |x|”, the absolute value of x?

Is the value of X non-differentiable at x = 0?

In that case, the answer is yes: you can easily see this by showing that it is equivalent to x for x > 0 and -x for x < 0. To prove that it is non-differentiable at x = 0, you need to do a little work, but that’s still straightforward. Did you mean “f (x) = |x|”, the absolute value of x?