What is the first d/(dy)((x)(5x)) ?

The first d/(dy)((x)(5x)) is 10y

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d/(dy)((x)(5x))

\frac{d}{d y} ((y) (5 y))

10 y

Solution steps

\frac{d}{d y} ((y) (5 y))

Simplify

(y) (5 y) : 5 y^{2}

= \frac{d}{d y} (5 y^{2})

Take the constant out:

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

= 5 \frac{d}{d y} (y^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 \cdot 2 y^{2 - 1}

Simplify

= 10 y

cos (θ) (tan (θ) θ) d θ

\frac{x ^{3} - 27}{3 x - 3}

2 r^{2} - 2 s^{2} + h r^{2} - h s^{2}

(2 a - 3 b) - 2 ab + 3

34 + 56 i