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How to use it?
- Derivative of:
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Derivative of x^2-4
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Derivative of (x^2+1)^2
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Derivative of sqrt(2*x)
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Derivative of e^(1/x)
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Identical expressions
- y=x^ three - six ,5x^ two -56x+ eight
- y equally x cubed minus 6,5x squared minus 56x plus 8
- y equally x to the power of three minus six ,5x to the power of two minus 56x plus eight
- y=x3-6,5x2-56x+8
- y=x³-6,5x²-56x+8
- y=x to the power of 3-6,5x to the power of 2-56x+8
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Similar expressions
- y=x^3-6,5x^2+56x+8
- y=x^3-6,5x^2-56x-8
- y=x^3+6,5x^2-56x+8
Derivative of y=x^3-6,5x^2-56x+8
The solution
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2
3 13*x
x - ----- - 56*x + 8
2
$$x^{3} - \frac{13 x^{2}}{2} - 56 x + 8$$
/ 2 \ d | 3 13*x | --|x - ----- - 56*x + 8| dx\ 2 /
$$\frac{d}{d x} \left(x^{3} - \frac{13 x^{2}}{2} - 56 x + 8\right)$$
Detail solution
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Differentiate term by term:
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Apply the power rule: goes to
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The derivative of a constant times a function is the constant times the derivative of the function.
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The derivative of a constant times a function is the constant times the derivative of the function.
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Apply the power rule: goes to
So, the result is:
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So, the result is:
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The derivative of a constant times a function is the constant times the derivative of the function.
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The derivative of a constant times a function is the constant times the derivative of the function.
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Apply the power rule: goes to
So, the result is:
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So, the result is:
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The derivative of the constant is zero.
The result is:
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The answer is:
The graph