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Popular >

derivative of f(x)= 1/(7-x)

Solution

derivative of

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

Solution

\frac{1}{( 7 - x ) ^{2}}

Solution steps

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

- \frac{1}{( 7 - x ) ^{2}} \frac{d}{d x} (7 - x)

= - \frac{1}{( 7 - x ) ^{2}} \frac{d}{d x} (7 - x)

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

= - \frac{1}{( 7 - x ) ^{2}} (- 1)

Simplify

= \frac{1}{( 7 - x ) ^{2}}

Popular Examples

derivative of h(sqrt(x))

\frac{d}{d x} (h (x))

derivative of f(x)= 9/(sqrt(x))derivative of

f (x) = \frac{9}{x}

(dy)/(dx)= 1/6 sqrt(y)cos^2(sqrt(y))

\frac{d y}{d x} = \frac{1}{6} y cos^{2} (y)

integral of 11(tan(x))(ln(cos(x)))

\int 11 (tan (x)) (ln (cos (x))) d x

inverse oflaplace (1/7)/(s^2+19980/7)inverse laplace

\frac{\frac{1}{7}}{s ^{2} + \frac{19980}{7}}

Frequently Asked Questions (FAQ)

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