Evaluate
-\frac{11x}{4}
Differentiate w.r.t. x
-\frac{11}{4} = -2\frac{3}{4} = -2.75
Graph
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1x-\frac{3}{4}x-3x
Divide 2 by 2 to get 1.
\frac{1}{4}x-3x
Combine 1x and -\frac{3}{4}x to get \frac{1}{4}x.
-\frac{11}{4}x
Combine \frac{1}{4}x and -3x to get -\frac{11}{4}x.
\frac{\mathrm{d}}{\mathrm{d}x}(1x-\frac{3}{4}x-3x)
Divide 2 by 2 to get 1.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x-3x)
Combine 1x and -\frac{3}{4}x to get \frac{1}{4}x.
\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{11}{4}x)
Combine \frac{1}{4}x and -3x to get -\frac{11}{4}x.
-\frac{11}{4}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{11}{4}x^{0}
Subtract 1 from 1.
-\frac{11}{4}
For any term t except 0, t^{0}=1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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