Evaluate
13x+10
Differentiate w.r.t. x
13
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4x+9x+12-2
Combine -6x and 10x to get 4x.
13x+12-2
Combine 4x and 9x to get 13x.
13x+10
Subtract 2 from 12 to get 10.
\frac{\mathrm{d}}{\mathrm{d}x}(4x+9x+12-2)
Combine -6x and 10x to get 4x.
\frac{\mathrm{d}}{\mathrm{d}x}(13x+12-2)
Combine 4x and 9x to get 13x.
\frac{\mathrm{d}}{\mathrm{d}x}(13x+10)
Subtract 2 from 12 to get 10.
13x^{1-1}
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}.
13x^{0}
Subtract 1 from 1.
13\times 1
For any term t except 0, t^{0}=1.
13
For any term t, t\times 1=t and 1t=t.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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