What is the derivative of log of sin x?
Hence, the derivative of $\log \sin x$ by first principle is cot (x).
What is the derivative of sin x with respect to log X?
The derivative of sin x with respect to log x is x cos x.
What is the derivative of y sin x?
cos x
The derivative of sin x is cos x.
What is log Sinx?
d/dx log(sinx)=1/sinx*d/dxsinx=1/sinx* cosx=cosx/sinx=cotx.
What is derivative of log X?
We know that the derivative of log x is 1/(x ln 10). By applying chain rule, the derivative of log x2 is 1/(x2) · (2x) = 2/x.
What’s the derivative of log X?
What is the value of d dx sin x .TAN X?
Use logarithmic differentiation to get ddx(sin(x)tan(x))=(1+ln(sin(x))sec2(x))⋅sin(x)tan(x) .
What is the derivative of x sin x?
Hence, the derivative of xsinx comes out to be xcosx+sinx.
What is the derivative of 1/sin x*cos x?
Since derivative of log x is 1/x and derivative of sin x is cos x. Therefore, 1/sin x*cos x is the derivative of given function. This can be further written as cot x. FOLLOWING THE DOUBLE CHAIN RULE:
Is sin(logx) = (Sin o log)(x) differentiable and continuous?
Composite function g o f is differentiable (resp. continuous) at ‘a’ if f is so at ‘a’ and g is so at f (a). Therefore sin (log x) = (sin o log) (x) is differentiable and continuous at every positive real.
How to calculate derivatives in JavaScript?
Instead, the derivatives have to be calculated manually step by step. The rules of differentiation (product rule, quotient rule, chain rule, …) have been implemented in JavaScript code. There is also a table of derivative functions for the trigonometric functions and the square root, logarithm and exponential function.
Why does the derivative calculator have a multiplication sign?
A specialty in mathematical expressions is that the multiplication sign can be left out sometimes, for example we write “5x” instead of “5*x”. The Derivative Calculator has to detect these cases and insert the multiplication sign. The parser is implemented in JavaScript, based on the Shunting-yard algorithm, and can run directly in the browser.