Differentiate w.r.t. a
40a^{4}-42a^{2}
Evaluate
8a^{5}-14a^{3}-15
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5\times 8a^{5-1}+3\left(-14\right)a^{3-1}
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}.
40a^{5-1}+3\left(-14\right)a^{3-1}
Multiply 5 times 8.
40a^{4}+3\left(-14\right)a^{3-1}
Subtract 1 from 5.
40a^{4}-42a^{3-1}
Multiply 3 times -14.
40a^{4}-42a^{2}
Subtract 1 from 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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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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