What is the derivative of (wsqrt(w)(7x+3)) ?

The derivative of (wsqrt(w)(7x+3)) is 7w^{3/2}

What is the first derivative of (wsqrt(w)(7x+3)) ?

The first derivative of (wsqrt(w)(7x+3)) is 7w^{3/2}

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\frac{d}{d x} ((w) w (7 x + 3))

7 w^{\frac{3}{2}}

Solution steps

\frac{d}{d x} ((w) w (7 x + 3))

Simplify

(w) w (7 x + 3) : w^{\frac{3}{2}} (7 x + 3)

= \frac{d}{d x} (w^{\frac{3}{2}} (7 x + 3))

Treat

w

as a constant

Take the constant out:

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

= w^{\frac{3}{2}} \frac{d}{d x} (7 x + 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= w^{\frac{3}{2}} (\frac{d}{d x} (7 x) + \frac{d}{d x} (3))

\frac{d}{d x} (7 x) = 7

\frac{d}{d x} (3) = 0

= w^{\frac{3}{2}} (7 + 0)

Simplify

= 7 w^{\frac{3}{2}}

π (2) (2 + 22)

\frac{( n ^{2} + n ) x ^{2}}{2}

(e^{2 x} + 2)^{3}

tan^{(8)} ((4 x + 1)^{(3)})

5 e^{3 x} (3 x + 2)

What is the derivative of (wsqrt(w)(7x+3)) ?
The derivative of (wsqrt(w)(7x+3)) is 7w^{3/2}
What is the first derivative of (wsqrt(w)(7x+3)) ?
The first derivative of (wsqrt(w)(7x+3)) is 7w^{3/2}