Differentiate w.r.t. x
40
Evaluate
40x+9
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\frac{\mathrm{d}}{\mathrm{d}x}(40x+9)
Combine 16x and 24x to get 40x.
40x^{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}.
40x^{0}
Subtract 1 from 1.
40\times 1
For any term t except 0, t^{0}=1.
40
For any term t, t\times 1=t and 1t=t.
40x+9
Combine 16x and 24x to get 40x.
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