What is the derivative of {f}(x*{f}(x)) ?

The derivative of {f}(x*{f}(x)) is 2{f}(x) derivative of {f}(x)

What is the first derivative of {f}(x*{f}(x)) ?

The first derivative of {f}(x*{f}(x)) is 2{f}(x) derivative of {f}(x)

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\frac{d}{d x} (f (x) \cdot f (x))

2 f (x) \frac{d}{d x} (f (x))

Solution steps

\frac{d}{d x} (f (x) f (x))

Simplify

f (x) f (x) : f (x)^{2}

= \frac{d}{d x} (f (x)^{2})

Apply the chain rule:

2 f (x) \frac{d}{d x} (f (x))

= 2 f (x) \frac{d}{d x} (f (x))

x \to 4 - lim (arcsin (\frac{x}{4}))

x \to 0 lim (\frac{x ^{2} h + 3 x h ^{2} + h ^{3}}{2 x h + 5 h ^{2}})

y = x + 2, y = \frac{1}{x + 1}, x = 2, x = 0

\frac{\partial}{\partial x} (e^{y l n (x)})

\frac{d}{d x} (2 b x)

What is the derivative of {f}(x*{f}(x)) ?
The derivative of {f}(x*{f}(x)) is 2{f}(x) derivative of {f}(x)
What is the first derivative of {f}(x*{f}(x)) ?
The first derivative of {f}(x*{f}(x)) is 2{f}(x) derivative of {f}(x)