What is the derivative of p(x)=sqrt(x)-sqrt(1-3x^2) ?

The derivative of p(x)=sqrt(x)-sqrt(1-3x^2) is 1/(2sqrt(x))+(3x)/(sqrt(1-3x^2))

What is the first derivative of p(x)=sqrt(x)-sqrt(1-3x^2) ?

The first derivative of p(x)=sqrt(x)-sqrt(1-3x^2) is 1/(2sqrt(x))+(3x)/(sqrt(1-3x^2))

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derivative of

p (x) = x - 1 - 3 x^{2}

\frac{1}{2 x} + \frac{3 x}{1 - 3 x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{2 x} - (- \frac{3 x}{1 - 3 x ^{2}})

Simplify

= \frac{1}{2 x} + \frac{3 x}{1 - 3 x ^{2}}

cot (4 x)

\int 3 e^{s i n (x)} cos (x) d x

f (x) = x^{3} + 1, (- 1, 0)

3 (x + 1), 2 (x + 1), 0, 7

f (x) = \frac{2 x + 14}{x + 9}

What is the derivative of p(x)=sqrt(x)-sqrt(1-3x^2) ?
The derivative of p(x)=sqrt(x)-sqrt(1-3x^2) is 1/(2sqrt(x))+(3x)/(sqrt(1-3x^2))
What is the first derivative of p(x)=sqrt(x)-sqrt(1-3x^2) ?
The first derivative of p(x)=sqrt(x)-sqrt(1-3x^2) is 1/(2sqrt(x))+(3x)/(sqrt(1-3x^2))