Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
f\left(x,y\right)=x^{2}y
Function
-
\text{Find the first partial derivative with respect to }x
-
\text{Find the first partial derivative with respect to }y
f_{x}=2xy
Simplify
f\left(x,y\right)=x^{2}y
\text{Find the first partial derivative by treating the variable }y\text{ as a constant and differentiating with respect to }x
f_{x}=\frac{\partial}{\partial x}\left(x^{2}y\right)
\text{Use differentiation rule }\frac{\partial}{\partial x}\left(cf\left(x\right)\right)=c\times\frac{\partial}{\partial x}(f(x))
f_{x}=y\times \frac{\partial}{\partial x}\left(x^{2}\right)
\text{Use }\frac{\partial}{\partial x} x^{n}=n x^{n-1}\text{ to find derivative}
f_{x}=y\times 2x
Solution
f_{x}=2xy
Show Solutions
