What is the derivative of 2e^x-3x^2sqrt(x) ?

The derivative of 2e^x-3x^2sqrt(x) is 2e^x-(15x^{3/2})/2

What is the first derivative of 2e^x-3x^2sqrt(x) ?

The first derivative of 2e^x-3x^2sqrt(x) is 2e^x-(15x^{3/2})/2

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\frac{d}{d x} (2 e^{x} - 3 x^{2} x)

2 e^{x} - \frac{15 x ^{\frac{3}{2}}}{2}

Solution steps

\frac{d}{d x} (2 e^{x} - 3 x^{2} x)

Simplify

2 e^{x} - 3 x^{2} x : 2 e^{x} - 3 x^{\frac{5}{2}}

= \frac{d}{d x} (2 e^{x} - 3 x^{\frac{5}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (3 x^{\frac{5}{2}})

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

\frac{d}{d x} (3 x^{\frac{5}{2}}) = \frac{15 x ^{\frac{3}{2}}}{2}

= 2 e^{x} - \frac{15 x ^{\frac{3}{2}}}{2}

\int sin^{8} (x) d x

\int_{0}^{5} \frac{x}{x + 4} d x

\int \frac{1}{1 + t ^{3}} d t

\int \frac{1}{7 ^{x}} d x

f (x) = - x^{2} + 7 x

What is the derivative of 2e^x-3x^2sqrt(x) ?
The derivative of 2e^x-3x^2sqrt(x) is 2e^x-(15x^{3/2})/2
What is the first derivative of 2e^x-3x^2sqrt(x) ?
The first derivative of 2e^x-3x^2sqrt(x) is 2e^x-(15x^{3/2})/2