Find the 99th derivative of sin(-x).
- print Print
- list Cite
Expert Answers
Tushar Chandra
| Certified Educator
calendarEducator since 2010
write12,554 answers
starTop subjects are Math, Science, and Business
For the function f(x) = sin (-x), as the sine function is odd, f(x) = -sin x. If F(n) represents the nth derivative,
F(0) = -sin x
F(1) = -cos x
F(2) = sin x
F(3) = cos x
F(4) = -sin x
F(5) = -cos x
It is seen that the derivative repeats after the function has been differentiated 4 times.
f(99) = f(3 + 4*24) = f(3) = cos x
The 99th derivative of f(x) = sin(-x) is cos x
Related Questions
- Find the 100th derivative of xe^x
- 1 Educator Answer
- Find the derivative of the following functions:f (x)= x^8 sin 5x
- 2 Educator Answers
- Find the derivative of the function: y= `x*sin(1/x)`
- 1 Educator Answer
- `y = x^sin(x)` Use logarithmic differentiation to find the derivative of the function.
- 1 Educator Answer
- Find the derivative of f(x) = 1+tan(x) / 1-tan(x)
- 2 Educator Answers