Evaluate
24xz+36x+18y-5
Differentiate w.r.t. x
24z+36
Share
Copied to clipboard
2x+3y+24zx+3y\times 5+3-8+4\times 6x+x+9x
Multiply 4 and 6 to get 24.
2x+3y+24zx+15y+3-8+4\times 6x+x+9x
Multiply 3 and 5 to get 15.
2x+18y+24zx+3-8+4\times 6x+x+9x
Combine 3y and 15y to get 18y.
2x+18y+24zx-5+4\times 6x+x+9x
Subtract 8 from 3 to get -5.
2x+18y+24zx-5+24x+x+9x
Multiply 4 and 6 to get 24.
26x+18y+24zx-5+x+9x
Combine 2x and 24x to get 26x.
27x+18y+24zx-5+9x
Combine 26x and x to get 27x.
36x+18y+24zx-5
Combine 27x and 9x to get 36x.
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}