Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Derivative of:
-
Derivative of (-6)/x^4
-
Derivative of asin(t)
-
Derivative of -sin(x)+cos(x)
-
Derivative of log(sin(2*x+5))
-
Identical expressions
- log(sin(2x+ five), three)
- logarithm of ( sinus of (2x plus 5),3)
- logarithm of ( sinus of (2x plus five), three)
- logsin2x+5,3
-
Similar expressions
- log(sin(2x-5),3)
Derivative of log(sin(2x+5),3)
The solution
You have entered
[src]
log(sin(2*x + 5), 3)
$$\log{\left(\sin{\left(2 x + 5 \right)} \right)}$$
log(sin(2*x + 5), 3)
The first derivative
[src]
2*cos(2*x + 5) -------------- sin(2*x + 5)
$$\frac{2 \cos{\left(2 x + 5 \right)}}{\sin{\left(2 x + 5 \right)}}$$
The second derivative
[src]
/ 2 \ | cos (5 + 2*x)| -4*|1 + -------------| | 2 | \ sin (5 + 2*x)/
$$- 4 \left(1 + \frac{\cos^{2}{\left(2 x + 5 \right)}}{\sin^{2}{\left(2 x + 5 \right)}}\right)$$
The third derivative
[src]
/ 2 \
| cos (5 + 2*x)|
16*|1 + -------------|*cos(5 + 2*x)
| 2 |
\ sin (5 + 2*x)/
-----------------------------------
sin(5 + 2*x)
$$\frac{16 \left(1 + \frac{\cos^{2}{\left(2 x + 5 \right)}}{\sin^{2}{\left(2 x + 5 \right)}}\right) \cos{\left(2 x + 5 \right)}}{\sin{\left(2 x + 5 \right)}}$$