What is the derivative of y=(4x-e^{3x})^9 ?

The derivative of y=(4x-e^{3x})^9 is 9(4x-e^{3x})^8(4-e^{3x}*3)

What is the first derivative of y=(4x-e^{3x})^9 ?

The first derivative of y=(4x-e^{3x})^9 is 9(4x-e^{3x})^8(4-e^{3x}*3)

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derivative of

y = (4 x - e^{3 x})^{9}

9 (4 x - e^{3 x})^{8} (4 - e^{3 x} \cdot 3)

Solution steps

\frac{d}{d x} ((4 x - e^{3 x})^{9})

Apply the chain rule:

9 (4 x - e^{3 x})^{8} \frac{d}{d x} (4 x - e^{3 x})

= 9 (4 x - e^{3 x})^{8} \frac{d}{d x} (4 x - e^{3 x})

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

= 9 (4 x - e^{3 x})^{8} (4 - e^{3 x} \cdot 3)

y = x^{2}, (0, 1)

\int (e^{y} + 1)^{2} e^{- y} d y

\int \frac{x ^{3}}{x ^{2} + x - 2} d x

\int \frac{x ^{4}}{x ^{5} - 2} d x

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

What is the derivative of y=(4x-e^{3x})^9 ?
The derivative of y=(4x-e^{3x})^9 is 9(4x-e^{3x})^8(4-e^{3x}*3)
What is the first derivative of y=(4x-e^{3x})^9 ?
The first derivative of y=(4x-e^{3x})^9 is 9(4x-e^{3x})^8(4-e^{3x}*3)