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Popular >

derivative of x^2+4x+12y-8

Solution

\frac{d}{d x} (x^{2} + 4 x + 12 y - 8)

Solution

2 x + 12 \frac{d y}{d x} + 4

Solution steps

\frac{d}{d x} (x^{2} + 4 x + 12 y - 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (4 x) + \frac{d}{d x} (12 y) - \frac{d}{d x} (8)

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

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

\frac{d}{d x} (12 y) = 12 \frac{d y}{d x}

\frac{d}{d x} (8) = 0

= 2 x + 4 + 12 \frac{d y}{d x} - 0

Simplify

= 2 x + 12 \frac{d y}{d x} + 4

Popular Examples

(\partial)/(\partial x)(x^2y^2+4x^2-3xy)

\frac{\partial}{\partial x} (x^{2} y^{2} + 4 x^{2} - 3 x y)

f^{''}(x)=acos(2x)+bsin(2x)

f^{^{''}} (x) = a cos (2 x) + b sin (2 x)

(\partial)/(\partial x)((x-1)^2)

\frac{\partial}{\partial x} ((x - 1)^{2})

sum from n=1 to infinity of 3(1/4)^{n-1}

n = 1 \sum \infty 3 (\frac{1}{4})^{n - 1}

integral of ((x^3))/((1+x^2))

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

Frequently Asked Questions (FAQ)

What is the derivative of x^2+4x+12y-8 ?
The derivative of x^2+4x+12y-8 is 2x+12(dy)/(dx)+4
What is the first derivative of x^2+4x+12y-8 ?
The first derivative of x^2+4x+12y-8 is 2x+12(dy)/(dx)+4