Evaluate
\frac{27y^{3}}{35x}
Differentiate w.r.t. x
-\frac{27y^{3}}{35x^{2}}
Share
Copied to clipboard
\frac{3x^{2}}{7y}\times \frac{9y^{4}}{5x^{3}}
Cancel out 2 in both numerator and denominator.
\frac{3x^{2}\times 9y^{4}}{7y\times 5x^{3}}
Multiply \frac{3x^{2}}{7y} times \frac{9y^{4}}{5x^{3}} by multiplying numerator times numerator and denominator times denominator.
\frac{3\times 9y^{3}}{5\times 7x}
Cancel out yx^{2} in both numerator and denominator.
\frac{27y^{3}}{5\times 7x}
Multiply 3 and 9 to get 27.
\frac{27y^{3}}{35x}
Multiply 5 and 7 to get 35.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}