What is derivative 3sinx?

The derivative of 3sin(x) is 3cos(x).

How do you find the derivative of log base 5?

Calculus Examples The derivative of log5(x) log 5 ( x ) with respect to x is 1xln(5) 1 x ln ( 5 ) .

How do you find the derivative of log base 2?

Calculus Examples The derivative of log2(x) log 2 ( x ) with respect to x is 1xln(2) 1 x ln ( 2 ) .

How do you find the derivative of log base 3?

To find the derivative of other logarithmic functions, you must use the change of base formula: loga(x)= ln(x)/ln(a). With this, you can derive logarithmic functions with any base. For example, if f(x)=log3(x), then f(x)=ln(x)/ln(3).

What is the derivative of 3sinx 2?

Calculus Examples Since 3 is constant with respect to x , the derivative of 3sin2(x) 3 sin 2 ( x ) with respect to x is 3ddx[sin2(x)] 3 d d x [ sin 2 ( x ) ] .

What is the derivative of y Xsinx?

Hence, the derivative of xsinx comes out to be xcosx+sinx.

What is the derivative of log base 10?

1/(x ln 10)
The derivative of log x (base 10) is 1/(x ln 10). If the log has a base “a”, then its derivative is 1/(x ln a).

How do you differentiate Xtanx?

Calculus Examples The derivative of tan(x) with respect to x is sec2(x) sec 2 ( x ) . Differentiate using the Power Rule. Differentiate using the Power Rule which states that ddx[xn] d d x [ x n ] is nxn−1 n x n – 1 where n=1 n = 1 . Multiply tan(x) tan ( x ) by 1 1 .

How to find the derivative of log base 2 of X?

Find the Derivative – d/dx y = log base 2 of x. y = log2 (x) y = log 2 ( x) The derivative of log2(x) log 2 ( x) with respect to x x is 1 xln(2) 1 x ln ( 2).

What is the derivative of log x and sin x?

Since derivative of log x is 1/x and derivative of sin x is cos x. 1/sin x*cos x is the derivative of given function. This can be further written as cot x. As (cos x/sin x = cot x).

How do you find the derivative of Y = ln2x?

We can see from the following graph that the slope of y = ln 2 x (curve in green, tangent in magenta) is the same as the slope of y = ln x (curve in gray, tangent in dashed gray), at the point x = 2. The derivative will be simply 2 times the derivative of ln x.

How to differentiate logarithmic functions with bases other than E?

Differentiating Logarithmic Functions with Bases other than e. If. u = f(x) is a function of x, and. y = log b u is a logarithm with base b, then we can obtain the derivative of the logarithm function with base b using: `(dy)/(dx)=(log_be)(u’)/u` where `u’` is the derivative of u. log b e is a constant.