Find (d)/(dc)(5c^(5)-5sin c) Answer:

Identify Common Factor: Identify the common factor in the numerator and denominator. The expression is (d)/(dc)(5c^(5)-5sin c). We can see that 'd' is a common factor in both the numerator and the denominator.Simplify Expression: Simplify the expression by canceling out the common factor. Since 'd' is present in both the numerator and the denominator, we can cancel it out. This gives us: (1)/(c)(5c^(5)-5sin c)Distribute Denominator: Distribute the denominator 'c' to both terms in the parenthesis. When we distribute 'c' to both terms in the parenthesis, we get: (1)/(5c^(6)-5c*sin c)Further Simplify: Simplify the expression further if possible. In this case, there are no further simplifications that can be made, so the expression is already in its simplest form.

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Find $\frac{d}{d c}\left(5 c^{5}-5 \sin c\right)$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Find

\frac{d}{d c}\left(5 c^{5}-5 \sin c\right)

\newline

Answer:

Identify Common Factor: Identify the common factor in the numerator and denominator. $\newline$ The expression is $(d)/(dc)(5c^{5}-5\sin c)$ . We can see that ' $d$ ' is a common factor in both the numerator and the denominator.
Simplify Expression: Simplify the expression by canceling out the common factor. $\newline$ Since $d$ is present in both the numerator and the denominator, we can cancel it out. This gives us: $\newline$ $\frac{1}{c}(5c^{5}-5\sin c)$
Distribute Denominator: Distribute the denominator $c$ to both terms in the parenthesis. $\newline$ When we distribute $c$ to both terms in the parenthesis, we get: $\newline$ $\frac{1}{5c^{6}-5c\sin c}$
Further Simplify: Simplify the expression further if possible. $\newline$ In this case, there are no further simplifications that can be made, so the expression is already in its simplest form.