Evaluate
4x^{3}
Differentiate w.r.t. x
12x^{2}
Graph
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5x+3x^{3}+x^{3}-5x
Combine 9x and -4x to get 5x.
5x+4x^{3}-5x
Combine 3x^{3} and x^{3} to get 4x^{3}.
4x^{3}
Combine 5x and -5x to get 0.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+3x^{3}+x^{3}-5x)
Combine 9x and -4x to get 5x.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+4x^{3}-5x)
Combine 3x^{3} and x^{3} to get 4x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3})
Combine 5x and -5x to get 0.
3\times 4x^{3-1}
The derivative of ax^{n} is nax^{n-1}.
12x^{3-1}
Multiply 3 times 4.
12x^{2}
Subtract 1 from 3.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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