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Popular >

derivative of 10x+9x^2+3y

Solution

\frac{d}{d x} (10 x + 9 x^{2} + 3 y)

Solution

10 + 18 x + 3 \frac{d y}{d x}

Solution steps

\frac{d}{d x} (10 x + 9 x^{2} + 3 y)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (3 y)

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (9 x^{2}) = 18 x

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

= 10 + 18 x + 3 \frac{d y}{d x}

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Frequently Asked Questions (FAQ)

What is the derivative of 10x+9x^2+3y ?
The derivative of 10x+9x^2+3y is 10+18x+3(dy)/(dx)
What is the first derivative of 10x+9x^2+3y ?
The first derivative of 10x+9x^2+3y is 10+18x+3(dy)/(dx)