What is the derivative of {f}(xx) ?

The derivative of {f}(xx) is x derivative of {f}(x)+{f}(x)

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

The first derivative of {f}(xx) is x derivative of {f}(x)+{f}(x)

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

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

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = f (x), g = x

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

\frac{d x}{d x} = 1

= \frac{d}{d x} (f (x)) x + 1 \cdot f (x)

Simplify

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

\frac{d}{d x} (\frac{2 x + 8 x ^{2}}{( 1 + 8 x ) ^{2}})

n = 1 \sum \infty \frac{5 n}{4 n + 3}

h \to 3 lim (\frac{( - 3 h + 5 - 5 )}{h})

x \to 3 + lim (ln (x - 3))

x \to - 3 lim (x - 3)

What is the derivative of {f}(xx) ?
The derivative of {f}(xx) is x derivative of {f}(x)+{f}(x)
What is the first derivative of {f}(xx) ?
The first derivative of {f}(xx) is x derivative of {f}(x)+{f}(x)