Differentiate w.r.t. x
8
Evaluate
8x-5
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\frac{\mathrm{d}}{\mathrm{d}x}(8x-5)
Combine x and 7x to get 8x.
8x^{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}.
8x^{0}
Subtract 1 from 1.
8\times 1
For any term t except 0, t^{0}=1.
8
For any term t, t\times 1=t and 1t=t.
8x-5
Combine x and 7x to get 8x.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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