What is expand f'(x)(45-p(x)) ?

The solution to expand f'(x)(45-p(x)) is 45f'(x)-f'(x)p(x)

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expand f'(x)(45-p(x))

expand

f^{'} (x) (45 - p (x))

45 f' (x) - f' (x) p (x)

Solution steps

f^{'} (x) (45 - p (x))

Apply the distributive law:

a (b - c) = ab - a c

a = f^{'} (x), b = 45, c = p (x)

= f^{^{'}} (x) 45 - f^{^{'}} (x) p (x)

= 45 f^{^{'}} (x) - f^{^{'}} (x) p (x)

\frac{d}{d x} ((2) (x^{2} (6 - x)^{3}))

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(1 + e^{- x}) e^{x}

5 \cdot (x + 7 + 149) (x + 7 - 149)

What is expand f'(x)(45-p(x)) ?
The solution to expand f'(x)(45-p(x)) is 45f'(x)-f'(x)p(x)