What is the first d/(do)(5^cosx) ?

The first d/(do)(5^cosx) is 5^csx

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d/(do)(5^cosx)

\frac{d}{d o} (5^{c} os x)

5^{c} s x

Solution steps

\frac{d}{d o} (5^{c} os x)

Treat

c, s, x

as a constant

Take the constant out:

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

= 5^{c} s x \frac{d o}{d o}

Apply the common derivative:

\frac{d o}{d o} = 1

= 5^{c} s x \cdot 1

Simplify

= 5^{c} s x

d er i v a t i v e t^{\frac{1}{4}}

\frac{d}{d r} (r^{3} - r^{2})

d er i v a t i v e x = 5 t^{2} - 2 t + 7

d er i v a t i v e (\frac{1}{5})^{x}

d er i v a t i v e y = x^{3} + 2 x - 1