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Popular >

derivative of f(x)=-x+7/x+1\at x

Solution

derivative of

f (x) = - x + \frac{7}{x} + 1 at x

Solution

- \frac{7}{x ^{2}}

Solution steps

\frac{d}{d x} (- x + \frac{7}{x} + 1 \cdot x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d x}{d x} + \frac{d}{d x} (\frac{7}{x}) + \frac{d}{d x} (1 \cdot x)

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

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

= - 1 - \frac{7}{x ^{2}} + 1

Simplify

= - \frac{7}{x ^{2}}

Popular Examples

derivative of sqrt((x^2*5^x)^7)derivative of

(x^{2} \cdot 5^{x})^{7}

limit as x approaches 2 of (x^2+4)/(x+2)

x \to 2 lim (\frac{x ^{2} + 4}{x + 2})

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

(4 x^{2} + 5) (4 x - 3)

inverse oflaplace 7/(s^2-9)inverse laplace

\frac{7}{s ^{2} - 9}

integral from-1 to 1 of f(x)

\int_{- 1}^{1} f (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-x+7/x+1\at x ?
The derivative of f(x)=-x+7/x+1\at x is -7/(x^2)
What is the first derivative of f(x)=-x+7/x+1\at x ?
The first derivative of f(x)=-x+7/x+1\at x is -7/(x^2)