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Popular >

(d^2)/(dx^2)(x^{1/2})

Solution

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

Solution

- \frac{1}{4 x ^{\frac{3}{2}}}

Solution steps

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

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

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

\frac{d}{d x} (\frac{1}{2 x ^{\frac{1}{2}}}) = - \frac{1}{4 x ^{\frac{3}{2}}}

= - \frac{1}{4 x ^{\frac{3}{2}}}

Popular Examples

(\partial)/(\partial s)(arctan(rs))

\frac{\partial}{\partial s} (arctan (rs))

tangent of f(x)= 6/x ,\at x=-7 tangent of

f (x) = \frac{6}{x}, at x = - 7

derivative of (x^3+4x+7)5+1/(x^2)derivative of

(x^{3} + 4 x + 7) 5 + \frac{1}{x ^{2}}

limit as x approaches 7+of (x+6)/(x-7)

x \to 7 + lim (\frac{x + 6}{x - 7})

limit as x approaches 3 of (x-3)/(9-x^2)

x \to 3 lim (\frac{x - 3}{9 - x ^{2}})

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^{1/2}) ?
The answer to (d^2)/(dx^2)(x^{1/2}) is -1/(4x^{3/2)}