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## Homework Statement

Suppose that the function f: R^n --> R is continuously differentiable. Let

**x**be a point in R^n. For

**p**a nonzero point in R^n and alpha a nonzero real number, show that

(df/d(alpha

**p**))(

**x**)=alpha(df/d(

**p**))(

**x**)

## Homework Equations

A function f: I --> R, defined on an open interval, is called

*continuously differentiable*provided that it is differentiable and its derivative is continuous.

## The Attempt at a Solution

Unfortunately, I do not have one. Which is why I am in dire need of help. I don't know where to begin. By the way, sorry for the horrible formatting, I am new to the forums.

Edit: Okay, I might have an attempt at a solution.

(df/d(alpha

**p**))(

**x**)=<gradientf(

**x**),alpha

**p**>=alpha<gradientf(

**x**),

**p**>=alpha(df/d

**p**)(

**x**)

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