Question

Differentiation of (4x^3-5x^2+1)^4

Answer 1

Explanation:

$\frac{d}{dx}({(4 {x}^{3} - 5{x}^{2} + 1) }^{4}) = >$

$4 {(4 {x}^{3} + 5 {x}^{2} + 1) }^{3} \frac{d}{dx}(4 {x}^{3} - 5 {x}^{2} + 1)$

$= > 4 {(4 {x}^{3} - 5 {x}^{2} + 1)}^{3} \times$

$(4(3 {x}^{2}) - 5(2x)) = >$

$4(4 {x}^{3} - 5 {x}^{2} + 1)^{3}(12 {x}^{2} - 10x) = >$

$8 {(4 {x}^{3} - 5 {x}^{2} + 1)}^3(6 {x}^{2} - 5x)$

Hope it helps you.