Ucale

# Some Standard Results on Differentiability

 Functions f(x) Intervals in which f(x) is differentiable 1. Polynomial $\displaystyle \left( -\infty , \infty \right)$ 2. Exponential $\displaystyle \left( { a }^{ x },a>0 \right)$ $\displaystyle \left( -\infty , \infty \right)$ 3. Constant $\displaystyle \left( -\infty ,\infty \right)$ 4. Logarithmic Each Point in its domain 5. Trigonometric Each Point in its domain 6. Inverse Trigonometric Each Point in its domain

### Note:

1. Sum, difference,product and quotient of two differentiable functions is differentiable.
2. The composition of differentiable function is also a differentiable function.
April 18, 2019
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