What is expand Dx(2x^2-5ln(x)-csc(x)-1) ?

The solution to expand Dx(2x^2-5ln(x)-csc(x)-1) is 2Dx^3-5Dxln(x)-Dxcsc(x)-Dx

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expand Dx(2x^2-5ln(x)-csc(x)-1)

expand

D x (2 x^{2} - 5 ln (x) - csc (x) - 1)

2 D x^{3} - 5 D x ln (x) - D x csc (x) - D x

Solution steps

D x (2 x^{2} - 5 ln (x) - csc (x) - 1)

Distribute parentheses

= D x \cdot 2 x^{2} + D x (- 5 ln (x)) + D x (- csc (x)) + D x (- 1)

Apply minus-plus rules

+ (- a) = - a

= 2 D x^{2} x - 5 D x ln (x) - D x csc (x) - 1 \cdot D x

Simplify

2 D x^{2} x - 5 D x ln (x) - D x csc (x) - 1 \cdot D x : 2 D x^{3} - 5 D x ln (x) - D x csc (x) - D x

= 2 D x^{3} - 5 D x ln (x) - D x csc (x) - D x

\frac{1 - e ^{- x}}{x ( x ^{2} + 2 x + 26 )}

4 (3 e^{3 x} + 2 cos (2 x))^{3}

\frac{20}{s ( s + 1 ) ( 0.5 s + 1 )}

1 + x^{2} d y + (x + y + 1 + x^{2}) d x

\frac{d ^{2}}{d ^{2} x} (x y + 5 e^{y} = 5 e)

What is expand Dx(2x^2-5ln(x)-csc(x)-1) ?
The solution to expand Dx(2x^2-5ln(x)-csc(x)-1) is 2Dx^3-5Dxln(x)-Dxcsc(x)-Dx