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f(x) = 1/3x3
f'(x) = ∫ 1/3x3 dx
f'(x) = 1/3∫ x3 dx
f'(x) = 1/3 * 3 * x2
f'(x) = x2
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Derivative of x3?
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
How do you differentiate y equal to one third x cubed minus 3x squared plus 8x plus one third?
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.
Antiderivative of x cubed divided by 3?
x4/12 since derivative of x4/12 is 4x3/12 or x3/3
How do you find the equation of a tangent line to the graph of fx equals x cubed and x equals -2?
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.
What is the derivative of 2lnx?
The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x
Derivative of x3?
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
How do you differentiate y equal to one third x cubed minus 3x squared plus 8x plus one third?
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.
What is the derivative of x cubed?
If the differentiation is carried out with respect to 'x', then it's 3x2 .
What is the derivative of 1 divided by x to the third power?
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.
What is X cubed- X?
0.6 cubed is equal to 0.216
What is the derivative of 7X cubed over 5?
21 X squared over 5
What is the third derivative of lnx?
The first derivative of ln x is 1/x, which (for the following) you better write as x-1.Now use the power rule:Second derivative (the derivative of the first derivative) is -1x-2, the third derivative is the derivative of this, or 2x-3. You may now wish to write this in the alternative form, as 2 / x3.
What is x multiplied by x squared?
x to the third power or x cubed x 3
How do you write the third power of x?
The normal way to write this is: x3 (meaning x cubed / x to the third power).
What is the derivative of 10 divided by x cubed?
10/x3 = 10 x-3d/dx(10x-3) = -30 x-4 = -30/x4
What is the value of six cubed?
Six cubed means six to the third power or 6 x 6 x 6. That would be 216.
What is the derivative of x?
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
