What is the derivative of (4x-x^2^{100}) ?

The derivative of (4x-x^2^{100}) is 100(4x-x^2)^{99}(4-2x)

What is the first derivative of (4x-x^2^{100}) ?

The first derivative of (4x-x^2^{100}) is 100(4x-x^2)^{99}(4-2x)

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\frac{d}{d x} ((4 x - x^{2})^{100})

100 (4 x - x^{2})^{99} (4 - 2 x)

Solution steps

\frac{d}{d x} ((4 x - x^{2})^{100})

Apply the chain rule:

100 (4 x - x^{2})^{99} \frac{d}{d x} (4 x - x^{2})

= 100 (4 x - x^{2})^{99} \frac{d}{d x} (4 x - x^{2})

\frac{d}{d x} (4 x - x^{2}) = 4 - 2 x

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

\frac{d}{d x} (sin (e^{2 x y}) + e^{s i n (2 x y)})

y = 4 x + 33, (4, 7)

\int (2 x)^{\frac{1}{2}} d x

\int x^{2} 1 + (2 x)^{2} d x

\int \frac{1}{cot ( 3 x )} d x

What is the derivative of (4x-x^2^{100}) ?
The derivative of (4x-x^2^{100}) is 100(4x-x^2)^{99}(4-2x)
What is the first derivative of (4x-x^2^{100}) ?
The first derivative of (4x-x^2^{100}) is 100(4x-x^2)^{99}(4-2x)