CDF POINTS
1.\(
\frac{{dy}}
{{dx}} = \frac{d}
{{dx}}\left( {x^n } \right) = nx^{n - 1}
\)
2. \(
\frac{d}
{{dx}}\left( {\cos x} \right) = - \sin x
\)
3. \(
\frac{d}
{{dx}}\left( {\tan x} \right) = \sec ^2 x
\)
4. \(
\frac{d}
{{dx}}\left( {\cot x} \right) = - \cos ec^2 x
\)
5. \(
\frac{d}
{{dx}}\left( {\sec x} \right) = \sec x\tan x
\)
6. \(
\frac{d}
{{dx}} = \left( {\cos ecx} \right) = - \cos ecx\cot x
\)
7. \(
\frac{d}
{{dx}}\left( {\log _a x} \right) = \frac{1}
{x}\log _a e
\)
8. \(
\frac{d}
{{dx}}\left( {\log _e x} \right) = \frac{1}
{x}
\) \(
\left( {\because \log _e e = 1} \right)
\)
9. \(
\frac{d}
{{dx}}\left( {a^x } \right) = a^x \log _e a
\)
10. \(
\frac{d}
{{dx}}\left( {e^x } \right) = e^x \left( {\because \log _e e = 1} \right)
\)
11.derivative of canstant is zero
12. \(
\frac{d}
{{dx}}\left( {\sin x} \right) = \cos x
\)