f(x) = 1/3x3
f'(x) = ∫ 1/3x3 dx
f'(x) = 1/3∫ x3 dx
f'(x) = 1/3 * 3 * x2
f'(x) = x2
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
The derivative of y = 1/3 x3 - 3x2 + 8x + 1/3 is x2 - 6x + 8. You can determine this for yourself by the rules. The derivative of a constant (e.g. 1/3) is 0. The derivative of xn for positive n (actually all nonzero n) is nxn-1. And if the derivative of f(x) is f'(x), then the derivative of k f(x) is k f'(x). Put all these together and you get the above result.
The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
The derivative of 3cos(x) is -3sin(x). This can be found using the chain rule, which states that the derivative of a composition of functions is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. In this case, the derivative of cos(x) is -sin(x), and when multiplied by the constant 3, we get -3sin(x) as the derivative of 3cos(x).
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
The derivative of y = 1/3 x3 - 3x2 + 8x + 1/3 is x2 - 6x + 8. You can determine this for yourself by the rules. The derivative of a constant (e.g. 1/3) is 0. The derivative of xn for positive n (actually all nonzero n) is nxn-1. And if the derivative of f(x) is f'(x), then the derivative of k f(x) is k f'(x). Put all these together and you get the above result.
If the differentiation is carried out with respect to 'x', then it's 3x2 .
Oh, dude, the third derivative of ln(x) is -2/(x^3). But like, who really needs to know that, right? I mean, unless you're planning on impressing your calculus teacher or something. Just remember, math is like a puzzle, except no one actually wants to put it together.
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.
0.6 cubed is equal to 0.216
21 X squared over 5
x to the third power or x cubed x 3
The normal way to write this is: x3 (meaning x cubed / x to the third power).
10/x3 = 10 x-3d/dx(10x-3) = -30 x-4 = -30/x4
The third derivative of the function x with respect to time is the rate of change of the acceleration of x with respect to time. It is denoted as d3x/dt3.
Six cubed means six to the third power or 6 x 6 x 6. That would be 216.