What is the derivative of-3x^4-1/x+xsqrt(x) ?

The derivative of-3x^4-1/x+xsqrt(x) is -12x^3+1/(x^2)+(3sqrt(x))/2

What is the first derivative of-3x^4-1/x+xsqrt(x) ?

The first derivative of-3x^4-1/x+xsqrt(x) is -12x^3+1/(x^2)+(3sqrt(x))/2

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

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

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

= - 12 x^{3} - (- \frac{1}{x ^{2}}) + \frac{3 x}{2}

Simplify

= - 12 x^{3} + \frac{1}{x ^{2}} + \frac{3 x}{2}

x \to - \frac{π}{4} lim (- sec (2 x))

f (x) = (3 x^{2} + 4 x - 19)^{15}

y^{^{'}} + y cos (x) = 5 cos (x)

\int sin^{4} (y) cos^{4} (y) d y

f (x) = sin (π x)

What is the derivative of-3x^4-1/x+xsqrt(x) ?
The derivative of-3x^4-1/x+xsqrt(x) is -12x^3+1/(x^2)+(3sqrt(x))/2
What is the first derivative of-3x^4-1/x+xsqrt(x) ?
The first derivative of-3x^4-1/x+xsqrt(x) is -12x^3+1/(x^2)+(3sqrt(x))/2