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Popular >

derivative of 7\sqrt[4]{-x}

Solution

Solution

- \frac{7}{4 ( - x ) ^{\frac{3}{4}}}

Solution steps

Take the constant out:

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

Apply the chain rule:

\frac{1}{4 ( - x ) ^{\frac{3}{4}}} \frac{d}{d x} (- x)

= \frac{1}{4 ( - x ) ^{\frac{3}{4}}} \frac{d}{d x} (- x)

\frac{d}{d x} (- x) = - 1

= 7 \cdot \frac{1}{4 ( - x ) ^{\frac{3}{4}}} (- 1)

Simplify

7 \cdot \frac{1}{4 ( - x ) ^{\frac{3}{4}}} (- 1) : - \frac{7}{4 ( - x ) ^{\frac{3}{4}}}

= - \frac{7}{4 ( - x ) ^{\frac{3}{4}}}

Popular Examples

integral of (x^2)/((x-1))

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

tangent of f(x)=-2x^2,\at x=-2 tangent of

f (x) = - 2 x^{2}, at x = - 2

derivative of sqrt(4x-16)derivative of

4 x - 16

y^{''}+10y^'+20y=0

y^{^{''}} + 10 y^{^{'}} + 20 y = 0

inverse oflaplace 1/((s-2)(s+2))inverse laplace

\frac{1}{( s - 2 ) ( s + 2 )}

Frequently Asked Questions (FAQ)

What is the derivative of 7\sqrt[4]{-x} ?
The derivative of 7\sqrt[4]{-x} is -7/(4(-x)^{3/4)}
What is the first derivative of 7\sqrt[4]{-x} ?
The first derivative of 7\sqrt[4]{-x} is -7/(4(-x)^{3/4)}