# Tagged Questions

For questions regarding partial derivatives. The partial derivative of a function of several variables is the derivative of the function with respect to one of those variables, with all others held constant.

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### Show the uniform convergence of the partial derivatives

Let $f\in C_1\left(\mathbb{R}^n,\mathbb{R}\right)$, is it true that if $[a,b]$ is a closed interval and $\left(x_2,...,x_n\right)$ is fix, then for all $\varepsilon>0$ there exists $\delta$ such ...
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### fit exponential decay model using jacobian

I am trying to fit a model of exponential decay to some data points using lsqnonlin in Matlab, but the partial derivatives I supply do not match the derivative calculated by finite differences. The ...
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I am having trouble calculating partial derivatives of a simple function. The function is: $$y(a,b,c)=\frac {0.99821*(a-b)}{c-b}$$ And I need to calculate $\frac {\partial y}{\partial a}$, $\... 2answers 30 views ### Please explain this differentiation step I don't get how they went from line 1 to line 2. Which one is treated as the variable and which the constant? I rearrange line 2 to get$0=\frac{3\varepsilon}{M}-h^3$, but I still cannot see how we ... 1answer 51 views ### Why$\frac{{\partial D}}{{\partial x}}$and$\frac{{\partial D}}{{\partial y}}$don't have any common factor? Let${A_j} \in {\mathbb{C}^{n \times n}},0<{w_j}\in \mathbb{R} (j = 0,1,2....m)$and$\lambda $is a complex variable such that$\lambda=x+iy$and$x,y\in \mathbb{R}$.${\rm{P(}}\lambda {\rm{) = ...
Consider the following expressions: $$C_{i}=\sum_{j=1}^{N_i}v_{j}, \quad v_j \in \mathbb{R}, \quad N_i \in \mathbb{N}$$ $$x_{i}=\frac{C_{i}}{N_i}$$ I want to obtain an ...