What is the derivative of f(x)=1.5x^2+2x^{1.5} ?

The derivative of f(x)=1.5x^2+2x^{1.5} is 3x+3sqrt(x)

What is the first derivative of f(x)=1.5x^2+2x^{1.5} ?

The first derivative of f(x)=1.5x^2+2x^{1.5} is 3x+3sqrt(x)

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derivative of

f (x) = 1.5 x^{2} + 2 x^{1.5}

3 x + 3 x

Solution steps

\frac{d}{d x} (1.5 x^{2} + 2 x^{1.5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1.5 x^{2}) + \frac{d}{d x} (2 x^{1.5})

\frac{d}{d x} (1.5 x^{2}) = 3 x

\frac{d}{d x} (2 x^{1.5}) = 3 x

= 3 x + 3 x

n = 1 \sum \infty \frac{1}{n ^{4} + n ^{2}}

\frac{d}{d x} (\frac{x ^{2} - 3 x - 4}{x + 1})

x \to \infty lim (\frac{3}{2 x})

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

\frac{d}{d x} (44 (2 x^{3} - 5)^{\frac{6}{5}})

What is the derivative of f(x)=1.5x^2+2x^{1.5} ?
The derivative of f(x)=1.5x^2+2x^{1.5} is 3x+3sqrt(x)
What is the first derivative of f(x)=1.5x^2+2x^{1.5} ?
The first derivative of f(x)=1.5x^2+2x^{1.5} is 3x+3sqrt(x)