Find the derivative of the nth order of the function y = sinx
a) cos (nπ + x)
b) sin (nπ +x)
c)
d)
Your Answer
Find the derivative of the nth order of the function y = sin5x cos2x
Find the derivative of the nth order of the function y = sinx cosx
a)
b)
Find the derivative of the nth order of the function y = sin3x
Find the derivative of the nth order of the function
y = ln (x2 + x − 2)
b) -
Find the derivative of the second order of the function
Given the function y = show that the function satisfies the equation
Using the expansion into linear combination of simpler functions find the derivative of the 100th order of the function
Prove that if f(x) has a derivative of the nth order, then
For the function , find
For the function
Using the rule for differentiation of an inverse function, find the derivative for the function
For the function represented parametrically find the derivative of the first order of y with respect to x x = a (t – sin t), y = a (1 – cos t)
c) cos t
d) sin t
For the function represented parametrically find the derivative of the first order of y with respect to x
x = k sin t – sin kt, y = k cos t + cos k t
a) cotkt
d) – tan kt
For the function represented parametrically find the derivative of the first order of y with respect to x x = 2 ln cot t, y = tan t + cot t
a) cot2t; , k ε ℝ
b) tan2t; , k ε ℝ
c) cott; t ≠ kπ, k ε ℝ
d) tant; , k ε ℝ
For the function represented parametrically find the derivative of the first order of y with respect to x x = , y =
a) – c
b) c
d) c