What is the derivative of 8x^2+14xy+5y^2 ?

The derivative of 8x^2+14xy+5y^2 is 16x+14(y+x(dy)/(dx))+10y(dy)/(dx)

What is the first derivative of 8x^2+14xy+5y^2 ?

The first derivative of 8x^2+14xy+5y^2 is 16x+14(y+x(dy)/(dx))+10y(dy)/(dx)

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\frac{d}{d x} (8 x^{2} + 14 x y + 5 y^{2})

16 x + 14 (y + x \frac{d y}{d x}) + 10 y \frac{d y}{d x}

Solution steps

\frac{d}{d x} (8 x^{2} + 14 x y + 5 y^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (14 x y) + \frac{d}{d x} (5 y^{2})

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (14 x y) = 14 (y + x \frac{d y}{d x})

\frac{d}{d x} (5 y^{2}) = 10 y \frac{d y}{d x}

= 16 x + 14 (y + x \frac{d y}{d x}) + 10 y \frac{d y}{d x}

(9, 7), (6, - 2)

\frac{3 x ^{4} + 6}{x ^{2}}

y = e^{6}

\int (\frac{2}{x ^{2} + 1}) d x

\frac{\partial}{\partial x} (- t + x)

What is the derivative of 8x^2+14xy+5y^2 ?
The derivative of 8x^2+14xy+5y^2 is 16x+14(y+x(dy)/(dx))+10y(dy)/(dx)
What is the first derivative of 8x^2+14xy+5y^2 ?
The first derivative of 8x^2+14xy+5y^2 is 16x+14(y+x(dy)/(dx))+10y(dy)/(dx)