What is (\partial)/(\partial x)(((-5x+28))^{4/3}) ?

The answer to (\partial)/(\partial x)(((-5x+28))^{4/3}) is -(20(-5x+28)^{1/3})/3

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(\partial)/(\partial x)(((-5x+28))^{4/3})

\frac{\partial}{\partial x} (((- 5 x + 28))^{\frac{4}{3}})

- \frac{20 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3}

Solution steps

\frac{\partial}{\partial x} (((- 5 x + 28))^{\frac{4}{3}})

Apply the chain rule:

\frac{4 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3} \frac{\partial}{\partial x} (- 5 x + 28)

= \frac{4 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3} \frac{\partial}{\partial x} (- 5 x + 28)

\frac{\partial}{\partial x} (- 5 x + 28) = - 5

= \frac{4 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3} (- 5)

Simplify

\frac{4 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3} (- 5) : - \frac{20 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3}

= - \frac{20 ( - 5 x + 28 ) ^{\frac{1}{3}}}{3}

\frac{\partial}{\partial x} (\frac{5 x + 4}{7 y + 1})

x \to 0 lim (- \frac{1}{x ^{3}})

sin (2 t)

x \to + 3 lim (4 cos (x))

x \to - \infty lim (2 x + 3)

What is (\partial)/(\partial x)(((-5x+28))^{4/3}) ?
The answer to (\partial)/(\partial x)(((-5x+28))^{4/3}) is -(20(-5x+28)^{1/3})/3