Well if you have 5/X then you can rewrite this like 5x-1. And the derivative to that is -5x-2 and that can be rewrote to: -(5/x2).
Write it as (1/3)x and take the derivative. You get (1/3)x0 = 1/3 * 1 = 1/3 ■
(1/2(x^-1/2))/x
The derivative of y = sin(3x + 5) is 3cos(3x + 5) but only if x is measured in radians.
The derivative of sec(x) is sec(x) tan(x).
25 divided by 5 x 8 is 40.
You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.
1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.
-4/x2
Negative the derivative of f(x), divided by f(x) squared. -f'(x) / f²(x)
m
Write it as (1/3)x and take the derivative. You get (1/3)x0 = 1/3 * 1 = 1/3 ■
Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.
(1/2(x^-1/2))/x
13
(cos x sin x) / (cos x sin x) = 1. The derivative of a constant, such as 1, is zero.
2
Following the correct order of operations: derivative of x^2 + 6/2 = derivative of x^2 +3, which equals 2x