What is 5*10^{-6} d/(dt)(10cos(6000t)) ?

The solution to 5*10^{-6} d/(dt)(10cos(6000t)) is 1/200000 d/(dt)(10cos(6000t))

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simplify 5*10^{-6} d/(dt)(10cos(6000t))

simplify

5 \cdot 1 0^{- 6} \frac{d}{d t} (10 cos (6000 t))

\frac{1}{200000} \frac{d}{d t} (10 cos (6000 t))

Solution steps

5 \cdot 1 0^{- 6} \frac{d}{d t} (10 cos (6000 t))

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 5 \cdot \frac{1}{1 0 ^{6}} \frac{d}{d t} (10 cos (6000 t))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 5}{1 0 ^{6}} \frac{d}{d t} (10 cos (6000 t))

\frac{1 \cdot 5}{1 0 ^{6}} = \frac{1}{200000}

= \frac{1}{200000} \frac{d}{d t} (10 cos (6000 t))

9 x^{2} (8 - x^{3})^{2}

4^{3} 0. 4^{- 3}

5 e^{- 5 t}

7.20655 E 14 \cdot 6.63 \cdot 1 0^{- 34}

7.69 \cdot 1 0^{- 3} \cdot 13.9

What is 5*10^{-6} d/(dt)(10cos(6000t)) ?
The solution to 5*10^{-6} d/(dt)(10cos(6000t)) is 1/200000 d/(dt)(10cos(6000t))