What is expand (7u^2+2u-1)(4u-5)' ?

The solution to expand (7u^2+2u-1)(4u-5)' is 7u^2(4u-5)'+2u(4u-5)'-(4u-5)'

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expand (7u^2+2u-1)(4u-5)'

expand

(7 u^{2} + 2 u - 1) (4 u - 5)^{'}

7 u^{2} (4 u - 5)' + 2 u (4 u - 5)' - (4 u - 5)'

Solution steps

(7 u^{2} + 2 u - 1) (4 u - 5)^{'}

Distribute parentheses

= (4 u - 5)^{^{'}} 7 u^{2} + (4 u - 5)^{^{'}} 2 u + (4 u - 5)^{^{'}} (- 1)

Apply minus-plus rules

+ (- a) = - a

= 7 u^{2} (4 u - 5)^{^{'}} + 2 u (4 u - 5)^{^{'}} - 1 (4 u - 5)^{^{'}}

Multiply:

1 (4 u - 5)^{'} = (4 u - 5)^{'}

= 7 u^{2} (4 u - 5)^{^{'}} + 2 u (4 u - 5)^{^{'}} - (4 u - 5)^{^{'}}

lo g_{10} (112) - 0.49 lo g_{10} (500)

(x + y) e^{x^{2} + y^{3}}

- \frac{7}{x ( x + 2 ) ^{2}}

2 (64 x^{3} + 96 x^{2} + 56 x + 16)^{2}

(\frac{cos ( x )}{x} - ln (sin (t)))^{2}

What is expand (7u^2+2u-1)(4u-5)' ?
The solution to expand (7u^2+2u-1)(4u-5)' is 7u^2(4u-5)'+2u(4u-5)'-(4u-5)'