What is the derivative of x^3(1-x^{100}+x^4-5pi) ?

The derivative of x^3(1-x^{100}+x^4-5pi) is 4x^3-100x^3(-x+1)^{99}+3x^2(-x+1)^{100}

What is the first derivative of x^3(1-x^{100}+x^4-5pi) ?

The first derivative of x^3(1-x^{100}+x^4-5pi) is 4x^3-100x^3(-x+1)^{99}+3x^2(-x+1)^{100}

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\frac{d}{d x} (x^{3} (1 - x)^{100} + x^{4} - 5 π)

4 x^{3} - 100 x^{3} (- x + 1)^{99} + 3 x^{2} (- x + 1)^{100}

Solution steps

\frac{d}{d x} (x^{3} (1 - x)^{100} + x^{4} - 5 π)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{3} (1 - x)^{100}) + \frac{d}{d x} (x^{4}) - \frac{d}{d x} (5 π)

\frac{d}{d x} (x^{3} (1 - x)^{100}) = 3 x^{2} (1 - x)^{100} - 100 x^{3} (1 - x)^{99}

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (5 π) = 0

= 3 x^{2} (1 - x)^{100} - 100 x^{3} (1 - x)^{99} + 4 x^{3} - 0

Simplify

= 4 x^{3} - 100 x^{3} (- x + 1)^{99} + 3 x^{2} (- x + 1)^{100}

y^{^{'}} + 7 y = 0

x \to 5 lim (\frac{5}{( x - 2 ) ^{2}})

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

\int sin^{4} (2 θ) d θ

\frac{\partial}{\partial y} (x sin (y - z))

What is the derivative of x^3(1-x^{100}+x^4-5pi) ?
The derivative of x^3(1-x^{100}+x^4-5pi) is 4x^3-100x^3(-x+1)^{99}+3x^2(-x+1)^{100}
What is the first derivative of x^3(1-x^{100}+x^4-5pi) ?
The first derivative of x^3(1-x^{100}+x^4-5pi) is 4x^3-100x^3(-x+1)^{99}+3x^2(-x+1)^{100}