What is the derivative of x^2+y^2-6x-4y-21 ?

The derivative of x^2+y^2-6x-4y-21 is 2x+2y(dy)/(dx)-4(dy)/(dx)-6

What is the first derivative of x^2+y^2-6x-4y-21 ?

The first derivative of x^2+y^2-6x-4y-21 is 2x+2y(dy)/(dx)-4(dy)/(dx)-6

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Popular >

\frac{d}{d x} (x^{2} + y^{2} - 6 x - 4 y - 21)

2 x + 2 y \frac{d y}{d x} - 4 \frac{d y}{d x} - 6

Solution steps

\frac{d}{d x} (x^{2} + y^{2} - 6 x - 4 y - 21)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (y^{2}) - \frac{d}{d x} (6 x) - \frac{d}{d x} (4 y) - \frac{d}{d x} (21)

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

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (4 y) = 4 \frac{d y}{d x}

\frac{d}{d x} (21) = 0

= 2 x + 2 y \frac{d y}{d x} - 6 - 4 \frac{d y}{d x} - 0

Simplify

= 2 x + 2 y \frac{d y}{d x} - 4 \frac{d y}{d x} - 6

\frac{d}{d x} (\frac{e + 5 x}{cos ( e ^{4 x} )})

\int cos^{2} (x) sin^{5} (x) d x

\frac{\partial}{\partial u} (ln (u^{2} + v^{2} + w^{2}))

x \to \infty lim (e^{x - x s})

x^{2} sin (e^{x})

What is the derivative of x^2+y^2-6x-4y-21 ?
The derivative of x^2+y^2-6x-4y-21 is 2x+2y(dy)/(dx)-4(dy)/(dx)-6
What is the first derivative of x^2+y^2-6x-4y-21 ?
The first derivative of x^2+y^2-6x-4y-21 is 2x+2y(dy)/(dx)-4(dy)/(dx)-6