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Popular >

derivative of 5(2-x^3^4)

Solution

\frac{d}{d x} (5 (2 - x^{3})^{4})

Solution

- 60 x^{2} (2 - x^{3})^{3}

Solution steps

\frac{d}{d x} (5 (2 - x^{3})^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} ((2 - x^{3})^{4})

Apply the chain rule:

4 (2 - x^{3})^{3} \frac{d}{d x} (2 - x^{3})

= 4 (2 - x^{3})^{3} \frac{d}{d x} (2 - x^{3})

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

= 5 \cdot 4 (2 - x^{3})^{3} (- 3 x^{2})

Simplify

= - 60 x^{2} (2 - x^{3})^{3}

Popular Examples

(\partial)/(\partial x)(-3y^5sin(3x))

\frac{\partial}{\partial x} (- 3 y^{5} sin (3 x))

inverse oflaplace (7s+2)/(s^2+6s+34)inverse laplace

\frac{7 s + 2}{s ^{2} + 6 s + 34}

limit as n approaches infinity of e^{1/n ln(n)}

n \to \infty lim (e^{\frac{1}{n} l n (n)})

derivative of 2x^3-3

\frac{d}{d x} (2 x^{3} - 3)

y^'= y/x ,y(1)=2

y^{^{'}} = \frac{y}{x}, y (1) = 2

Frequently Asked Questions (FAQ)

What is the derivative of 5(2-x^3^4) ?
The derivative of 5(2-x^3^4) is -60x^2(2-x^3)^3
What is the first derivative of 5(2-x^3^4) ?
The first derivative of 5(2-x^3^4) is -60x^2(2-x^3)^3