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Popular >

derivative of 3x,-2y,x-y

Solution

\frac{d}{d x} (3 x, - 2 y, x - y)

Solution

(3, 1) - (2, (\frac{d y}{d x} x + 1 \cdot y)) - \frac{d y}{d x}

Solution steps

\frac{d}{d x} (3 x, - 2 y, x - y)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x,) - \frac{d}{d x} (2 y, x) - \frac{d y}{d x}

\frac{d}{d x} (3 x,) = (3, 1)

\frac{d}{d x} (2 y, x) = (2, (\frac{d y}{d x} x + 1 \cdot y))

= (3, 1) - (2, (\frac{d y}{d x} x + 1 \cdot y)) - \frac{d y}{d x}

Popular Examples

derivative of (e^{-x^2}(-2x))

\frac{d}{d x} ((e^{- x^{2}}) (- 2 x))

y^{''}+y=-sin(2x),y(0)=0,y^'(0)=0

y^{^{''}} + y = - sin (2 x), y (0) = 0, y^{^{'}} (0) = 0

integral of (ln(x^{20}))/x

\int \frac{ln ( x ^{20} )}{x} d x

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

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

integral of ((9+x+x^2))/(sqrt(x))

\int \frac{( 9 + x + x ^{2} )}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 3x,-2y,x-y ?
The derivative of 3x,-2y,x-y is (3,1)-(2,((dy)/(dx)x+1*y))-(dy)/(dx)
What is the first derivative of 3x,-2y,x-y ?
The first derivative of 3x,-2y,x-y is (3,1)-(2,((dy)/(dx)x+1*y))-(dy)/(dx)