EDB — 1FZ

↑ ← → ↓

View
Tools

View

English

E2

[1FZ] Prerequisites:Riemann integral,[19Q].Let $I \subseteq ℝ$ open interval with $0 \in I$ . Given $f = f (x, y) : I \times [0, 1] \to ℝ$ continuous, and such that also $\frac{\partial}{\partial x} f$ exists and is continuous, set

g (x) = \int_{0}^{1} f (x, y) d y,

show that $g$ is of class $C^{1}$ , and that

g^{'} (x) = \int_{0}^{1} \frac{\partial}{\partial x} f (x, y) d y .

Solution 1

[1G0]

Download PDF

Authors: "Mennucci , Andrea C. G." .

Bibliography
Book index

derivative, total ---
derivative, partial ---
differential
Riemann integral

Managing blob in: Multiple languages

This content is available in: Italian English