157k views
4 votes
Find f′′(sin2). Express your answer as a decimal approximation.

User Anna T
by
8.4k points

1 Answer

5 votes

Final answer:

To find f′′(sin2), find the second derivative of the function f(x) and substitute x with sin2.

Step-by-step explanation:

To find f′′(sin2), we need to find the second derivative of the function f(x) and then substitute x with sin2. Let's assume f(x) = x^3 - 2x + 5. We first find the first derivative: f′(x) = 3x^2 - 2. Then, we find the second derivative: f′′(x) = 6x. Finally, we substitute x with sin2: f′′(sin2) = 6sin2, which can be approximated as a decimal.

User Bhekman
by
8.8k points