Evaluate
\frac{8a}{7}
Differentiate w.r.t. a
\frac{8}{7} = 1\frac{1}{7} = 1.1428571428571428
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\frac{2}{7}a+\frac{90a}{70}-\frac{30a}{70}
Divide 20a by 70 to get \frac{2}{7}a.
\frac{2}{7}a+\frac{9}{7}a-\frac{30a}{70}
Divide 90a by 70 to get \frac{9}{7}a.
\frac{11}{7}a-\frac{30a}{70}
Combine \frac{2}{7}a and \frac{9}{7}a to get \frac{11}{7}a.
\frac{11}{7}a-\frac{3}{7}a
Divide 30a by 70 to get \frac{3}{7}a.
\frac{8}{7}a
Combine \frac{11}{7}a and -\frac{3}{7}a to get \frac{8}{7}a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{7}a+\frac{90a}{70}-\frac{30a}{70})
Divide 20a by 70 to get \frac{2}{7}a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{7}a+\frac{9}{7}a-\frac{30a}{70})
Divide 90a by 70 to get \frac{9}{7}a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{11}{7}a-\frac{30a}{70})
Combine \frac{2}{7}a and \frac{9}{7}a to get \frac{11}{7}a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{11}{7}a-\frac{3}{7}a)
Divide 30a by 70 to get \frac{3}{7}a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{8}{7}a)
Combine \frac{11}{7}a and -\frac{3}{7}a to get \frac{8}{7}a.
\frac{8}{7}a^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{8}{7}a^{0}
Subtract 1 from 1.
\frac{8}{7}\times 1
For any term t except 0, t^{0}=1.
\frac{8}{7}
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
699 * 533
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}