What is the derivative of-sin(x)+cos(x)+x-1/(x^2) ?

The derivative of-sin(x)+cos(x)+x-1/(x^2) is -cos(x)-sin(x)+1+2/(x^3)

What is the first derivative of-sin(x)+cos(x)+x-1/(x^2) ?

The first derivative of-sin(x)+cos(x)+x-1/(x^2) is -cos(x)-sin(x)+1+2/(x^3)

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derivative of

- sin (x) + cos (x) + x - \frac{1}{x ^{2}}

- cos (x) - sin (x) + 1 + \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (- sin (x) + cos (x) + x - \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d x}{d x} = 1

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

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

Simplify

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

\frac{d}{d x} (x^{3} - 6 x^{2} + 8 x)

y^{^{''}} + 4 y = 8 x^{2}

x^{3} + y^{3} = 9

\int (7 x^{2}) e x^{3} + 1 d x

f (x) = - 4 sin (4 x)

What is the derivative of-sin(x)+cos(x)+x-1/(x^2) ?
The derivative of-sin(x)+cos(x)+x-1/(x^2) is -cos(x)-sin(x)+1+2/(x^3)
What is the first derivative of-sin(x)+cos(x)+x-1/(x^2) ?
The first derivative of-sin(x)+cos(x)+x-1/(x^2) is -cos(x)-sin(x)+1+2/(x^3)