Evaluate
71x+46
Differentiate w.r.t. x
71
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69x+46+2x
Add 39 and 7 to get 46.
71x+46
Combine 69x and 2x to get 71x.
\frac{\mathrm{d}}{\mathrm{d}x}(69x+46+2x)
Add 39 and 7 to get 46.
\frac{\mathrm{d}}{\mathrm{d}x}(71x+46)
Combine 69x and 2x to get 71x.
71x^{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}.
71x^{0}
Subtract 1 from 1.
71\times 1
For any term t except 0, t^{0}=1.
71
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
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}