What is the derivative of f(x)=sqrt(x)inx ?

The derivative of f(x)=sqrt(x)inx is (3insqrt(x))/2

What is the first derivative of f(x)=sqrt(x)inx ?

The first derivative of f(x)=sqrt(x)inx is (3insqrt(x))/2

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derivative of

f (x) = x in x

\frac{3 in x}{2}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= in \frac{d}{d x} (x x)

Apply the Product Rule:

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

f = x, g = x

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

\frac{d}{d x} (x) = \frac{1}{2 x}

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

= in (\frac{1}{2 x} x + 1 \cdot x)

Simplify

in (\frac{1}{2 x} x + 1 \cdot x) : \frac{3 in x}{2}

= \frac{3 in x}{2}

\int \frac{1}{1 - x ^{2}} x d x

\frac{d}{d x} (c e^{\frac{y}{x}})

\frac{\partial}{\partial x} (x + y + ∣ x ∣^{3} y^{2})

\frac{d}{d x} (5 x^{2 π})

(\frac{10 - ( 2 )}{( x )}) \cdot (\frac{3 + ( 1 )}{( x )})

What is the derivative of f(x)=sqrt(x)inx ?
The derivative of f(x)=sqrt(x)inx is (3insqrt(x))/2
What is the first derivative of f(x)=sqrt(x)inx ?
The first derivative of f(x)=sqrt(x)inx is (3insqrt(x))/2