What is expand y'(x)(2x+7)^3 ?

The solution to expand y'(x)(2x+7)^3 is 8x^3y'(x)+84x^2y'(x)+294xy'(x)+343y'(x)

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expand y'(x)(2x+7)^3

expand

y^{'} (x) (2 x + 7)^{3}

8 x^{3} y' (x) + 84 x^{2} y' (x) + 294 x y' (x) + 343 y' (x)

Solution steps

y^{'} (x) (2 x + 7)^{3}

(2 x + 7)^{3} = 8 x^{3} + 84 x^{2} + 294 x + 343

= y^{^{'}} (x) (8 x^{3} + 84 x^{2} + 294 x + 343)

Distribute parentheses

= y^{^{'}} (x) 8 x^{3} + y^{^{'}} (x) 84 x^{2} + y^{^{'}} (x) 294 x + y^{^{'}} (x) 343

= 8 x^{3} y^{^{'}} (x) + 84 x^{2} y^{^{'}} (x) + 294 x y^{^{'}} (x) + 343 y^{^{'}} (x)

(x + 4) (x + 4)^{'}

(a^{20} = - 11 + 20 - 1) \cdot 2

ln (a + e^{(x + y)^{2}})

\frac{( x + 7 ) ( x + 5 )}{x + 6}

e^{(x - 1) (x + 2)}

What is expand y'(x)(2x+7)^3 ?
The solution to expand y'(x)(2x+7)^3 is 8x^3y'(x)+84x^2y'(x)+294xy'(x)+343y'(x)