Differentiate w.r.t. x
x\left(3x+28\right)
Evaluate
x^{3}+14x^{2}-19
Graph
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3x^{3-1}+2\times 14x^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
3x^{2}+2\times 14x^{2-1}
Subtract 1 from 3.
3x^{2}+28x^{2-1}
Multiply 2 times 14.
3x^{2}+28x^{1}
Subtract 1 from 2.
3x^{2}+28x
For any term t, t^{1}=t.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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