Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
v=\omega r
Function
-
\text{Find the first partial derivative with respect to }\omega
-
\text{Find the first partial derivative with respect to }r
\frac{\partial v}{\partial \omega}=r
Simplify
v=\omega r
\text{Find the first partial derivative by treating the variable }r\text{ as a constant and differentiating with respect to }\omega
\frac{\partial v}{\partial \omega}=\frac{\partial}{\partial \omega}\left(\omega r\right)
\text{Use differentiation rule }\frac{\partial}{\partial x}\left(cf\left(x\right)\right)=c\times\frac{\partial}{\partial x}(f(x))
\frac{\partial v}{\partial \omega}=r\times \frac{\partial}{\partial \omega}\left(\omega \right)
\text{Use }\frac{\partial}{\partial x} x^{n}=n x^{n-1}\text{ to find derivative}
\frac{\partial v}{\partial \omega}=r\times 1
Solution
\frac{\partial v}{\partial \omega}=r
Show Solutions
Solve the equation
-
\text{Solve for }\omega
-
\text{Solve for }r
\omega =\frac{v}{r}
Evaluate
v=\omega r
Rewrite the expression
v=r\omega
Swap the sides of the equation
r\omega =v
Divide both sides
\frac{r\omega }{r}=\frac{v}{r}
Solution
\omega =\frac{v}{r}
Show Solutions
