What is the derivative of x^{3/2}(w+ce^w) ?

The derivative of x^{3/2}(w+ce^w) is (3x^{1/2}(w+ce^w))/2

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

The first derivative of x^{3/2}(w+ce^w) is (3x^{1/2}(w+ce^w))/2

Popular >

derivative of

x^{\frac{3}{2}} (w + c e^{w})

\frac{3 x ^{\frac{1}{2}} ( w + c e ^{w} )}{2}

Solution steps

\frac{d}{d x} (x^{\frac{3}{2}} (w + c e^{w}))

Treat

c, w

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= (w + c e^{w}) \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

(w + c e^{w}) \frac{3}{2} x^{\frac{3}{2} - 1} : \frac{3 x ^{\frac{1}{2}} ( w + c e ^{w} )}{2}

= \frac{3 x ^{\frac{1}{2}} ( w + c e ^{w} )}{2}

\frac{d}{d x} (9^{x} x^{4 x} (x^{2} + 2 x)^{2})

\frac{d}{d t} (5 e^{t} sin (t))

5 x^{4} - 28 x^{3} + 42 x^{2} - 196 x + 49

x \to 0 lim (tan^{4} (4 x))

y = 5 x^{3} - 3 x, (1, 2)

What is the derivative of x^{3/2}(w+ce^w) ?
The derivative of x^{3/2}(w+ce^w) is (3x^{1/2}(w+ce^w))/2
What is the first derivative of x^{3/2}(w+ce^w) ?
The first derivative of x^{3/2}(w+ce^w) is (3x^{1/2}(w+ce^w))/2