What is the derivative of 100xy ?

The derivative of 100xy is 100(y+x(dy)/(dx))

What is the first derivative of 100xy ?

The first derivative of 100xy is 100(y+x(dy)/(dx))

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\frac{d}{d x} (100 x y)

100 (y + x \frac{d y}{d x})

Solution steps

\frac{d}{d x} (100 x y)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 100 \frac{d}{d x} (x y)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = y

= 100 (\frac{d x}{d x} y + \frac{d y}{d x} x)

\frac{d x}{d x} = 1

= 100 (1 \cdot y + \frac{d y}{d x} x)

Simplify

= 100 (y + x \frac{d y}{d x})

\frac{d}{d x} (x^{3} \cdot e^{- 3 x})

\int (\frac{x + 2}{x ^{2} + 4 x}) d x

\int \frac{( 7 ^{x} )}{1 - 7 ^{2 x}} d x

cos (a^{7} + x^{7})

\int e^{- 3} d x

What is the derivative of 100xy ?
The derivative of 100xy is 100(y+x(dy)/(dx))
What is the first derivative of 100xy ?
The first derivative of 100xy is 100(y+x(dy)/(dx))