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Evaluate
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Differentiate w.r.t. x
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5x^{1}\times 5
To multiply powers of the same base, add their exponents. Add -3 and 4 to get 1.
5x\times 5
Calculate x to the power of 1 and get x.
25x
Multiply 5 and 5 to get 25.
\frac{\mathrm{d}}{\mathrm{d}x}(5x^{1}\times 5)
To multiply powers of the same base, add their exponents. Add -3 and 4 to get 1.
\frac{\mathrm{d}}{\mathrm{d}x}(5x\times 5)
Calculate x to the power of 1 and get x.
\frac{\mathrm{d}}{\mathrm{d}x}(25x)
Multiply 5 and 5 to get 25.
25x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
25x^{0}
Subtract 1 from 1.
25\times 1
For any term t except 0, t^{0}=1.
25
For any term t, t\times 1=t and 1t=t.