Skip to main content
Evaluate
Tick mark Image
Differentiate w.r.t. x
Tick mark Image

Similar Problems from Web Search

Share

\frac{2x^{-2}}{x^{-3}y^{2}}
Cancel out 12y^{3} in both numerator and denominator.
\frac{2x^{1}}{y^{2}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{2x}{y^{2}}
Calculate x to the power of 1 and get x.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{24y^{3}}{12y^{5}}x^{-2-\left(-3\right)})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{y^{2}}x^{1})
Do the arithmetic.
\frac{2}{y^{2}}x^{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}.
\frac{2}{y^{2}}x^{0}
Do the arithmetic.
\frac{2}{y^{2}}\times 1
For any term t except 0, t^{0}=1.
\frac{2}{y^{2}}
For any term t, t\times 1=t and 1t=t.