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Evaluate
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Differentiate w.r.t. x
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2^{2}x-2^{2}-2^{0}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 7 to get 2.
4x-2^{2}-2^{0}
Calculate 2 to the power of 2 and get 4.
4x-4-2^{0}
Calculate 2 to the power of 2 and get 4.
4x-4-1
Calculate 2 to the power of 0 and get 1.
4x-5
Subtract 1 from -4 to get -5.
\frac{\mathrm{d}}{\mathrm{d}x}(2^{2}x-2^{2}-2^{0})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 7 to get 2.
\frac{\mathrm{d}}{\mathrm{d}x}(4x-2^{2}-2^{0})
Calculate 2 to the power of 2 and get 4.
\frac{\mathrm{d}}{\mathrm{d}x}(4x-4-2^{0})
Calculate 2 to the power of 2 and get 4.
\frac{\mathrm{d}}{\mathrm{d}x}(4x-4-1)
Calculate 2 to the power of 0 and get 1.
\frac{\mathrm{d}}{\mathrm{d}x}(4x-5)
Subtract 1 from -4 to get -5.
4x^{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}.
4x^{0}
Subtract 1 from 1.
4\times 1
For any term t except 0, t^{0}=1.
4
For any term t, t\times 1=t and 1t=t.