Math Playground
Calculus

Power rule

d/dx(xⁿ) = nxⁿ⁻¹. The most-used differentiation rule.

The most-used differentiation rule.

Power rule
d/dx(xⁿ) = n·xⁿ⁻¹
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d/dx(x⁵)

5x⁴.

Try it

d/dx(√x) = d/dx(x^(1/2))

(1/2)x^(−1/2) = 1/(2√x).