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Popular >

derivative of 10^x-10^{-x}

Solution

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

Solution

ln (10) \cdot 1 0^{x} + ln (10) \cdot 1 0^{- x}

Solution steps

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1 0^{x}) - \frac{d}{d x} (1 0^{- x})

\frac{d}{d x} (1 0^{x}) = 1 0^{x} ln (10)

\frac{d}{d x} (1 0^{- x}) = - ln (10) \cdot 1 0^{- x}

= 1 0^{x} ln (10) - (- ln (10) \cdot 1 0^{- x})

Simplify

= ln (10) \cdot 1 0^{x} + ln (10) \cdot 1 0^{- x}

Popular Examples

derivative of f(x)=(x^2-2/x)^{-5}derivative of

f (x) = (x^{2} - \frac{2}{x})^{- 5}

limit as x approaches infinity of 13x(e^{1/x})-13x

x \to \infty lim (13 x (e^{\frac{1}{x}}) - 13 x)

y^'=8-y/(200)4,y(0)=50

y^{^{'}} = 8 - \frac{y}{200} 4, y (0) = 50

limit as x approaches pi/4 of sin(2x)

x \to \frac{π}{4} lim (sin (2 x))

integral from-1 to 2 of (x^2)/3

\int_{- 1}^{2} \frac{x ^{2}}{3} d x

Frequently Asked Questions (FAQ)

What is the derivative of 10^x-10^{-x} ?
The derivative of 10^x-10^{-x} is ln(10)*10^x+ln(10)*10^{-x}
What is the first derivative of 10^x-10^{-x} ?
The first derivative of 10^x-10^{-x} is ln(10)*10^x+ln(10)*10^{-x}