What is the derivative of a^2x+a^2y+b^2x+b^2y ?

The derivative of a^2x+a^2y+b^2x+b^2y is a^2+a^2(dy)/(dx)+b^2+b^2(dy)/(dx)

What is the first derivative of a^2x+a^2y+b^2x+b^2y ?

The first derivative of a^2x+a^2y+b^2x+b^2y is a^2+a^2(dy)/(dx)+b^2+b^2(dy)/(dx)

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\frac{d}{d x} (a^{2} x + a^{2} y + b^{2} x + b^{2} y)

a^{2} + a^{2} \frac{d y}{d x} + b^{2} + b^{2} \frac{d y}{d x}

Solution steps

\frac{d}{d x} (a^{2} x + a^{2} y + b^{2} x + b^{2} y)

Apply the Sum/Difference Rule:

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

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

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

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

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

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

= a^{2} + a^{2} \frac{d y}{d x} + b^{2} + b^{2} \frac{d y}{d x}

\frac{d}{d x} (\frac{2}{3} (5 - 2 x^{2})^{3})

y = - 3 cot (2 x) sec (2 x)

\frac{\partial}{\partial t} (P e^{r t})

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

y^{^{''}} + y^{^{'}} - 30 y = 0

What is the derivative of a^2x+a^2y+b^2x+b^2y ?
The derivative of a^2x+a^2y+b^2x+b^2y is a^2+a^2(dy)/(dx)+b^2+b^2(dy)/(dx)
What is the first derivative of a^2x+a^2y+b^2x+b^2y ?
The first derivative of a^2x+a^2y+b^2x+b^2y is a^2+a^2(dy)/(dx)+b^2+b^2(dy)/(dx)