Evaluate
12x+7
Differentiate w.r.t. x
12
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4x\times 3+7
The square of \sqrt{3} is 3.
12x+7
Multiply 4 and 3 to get 12.
\frac{\mathrm{d}}{\mathrm{d}x}(4x\times 3+7)
The square of \sqrt{3} is 3.
\frac{\mathrm{d}}{\mathrm{d}x}(12x+7)
Multiply 4 and 3 to get 12.
12x^{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}.
12x^{0}
Subtract 1 from 1.
12\times 1
For any term t except 0, t^{0}=1.
12
For any term t, t\times 1=t and 1t=t.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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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