Differentiate w.r.t. x
24x^{5}
Evaluate
4x^{6}+49
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(4x^{6}+49)
Calculate 7 to the power of 2 and get 49.
6\times 4x^{6-1}
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}.
24x^{6-1}
Multiply 6 times 4.
24x^{5}
Subtract 1 from 6.
4x^{6}+49
Calculate 7 to the power of 2 and get 49.
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