Tagged Questions

1
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3answers
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$g(\theta):= f(\theta {\bf y} + (1 − \theta){\bf x})$, find $g'$.

Let $f: \mathbb{R}^n \longrightarrow \mathbb{R}$ and let $g: \mathbb{R} \longrightarrow \mathbb{R}$ given by $g(\theta):= f(\theta {\bf y} + (1 − \theta){\bf x})$. I want to calculate the derivative ...
0
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3answers
26 views

Derivatives of Functions

Suppose $ F(x)=f(g(x)) $ $g(1)=3$ $g'(1)=4$ $f'(1)=6$ $f'(3)=5$ What is $F'(1)$ ?
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1answer
142 views

Estimates of the norm of a derivative of a vector vector field composition

I would like to know one estimate of the euclidian norm of a derivative of a vector field composition. For example: Let $f:\mathbb R^n \to \mathbb R^m$ and $g:\mathbb R^p \to \mathbb R^n$ be two ...