Find ds/dt s=t^5-csc(t)+18

Problem

d(s())/d(t)* for *s=t5−csc(t)+18

Solution

1. Identify the function s(t)=t5−csc(t)+18 and apply the sum rule for differentiation.

2. Apply the power rule to the first term t5 which states that d(tn)/d(t)=n*t(n−1)

3. Apply the trigonometric derivative rule to the second term −csc(t) where d(csc(t))/d(t)=−csc(t)*cot(t)

4. Apply the constant rule to the third term 18 as the derivative of any constant is 0

5. Combine the results to find the final derivative.

Final Answer

d(s())/d(t)=5*t4+csc(t)*cot(t)

Want more problems? Check here!