Find the second derivative of the function. f(x) = -3sin (x) (x) = ______

Find Derivative of f(x): Find the first derivative of f(x). Reasoning: The derivative of sin(x) is cos(x), and we need to apply the constant multiple rule. Calculation: f'(x) = -3 * cos(x)Find Second Derivative of f(x): Find the second derivative of f(x). Reasoning: Now, take the derivative of f'(x) = -3cos(x). The derivative of cos(x) is -sin(x). Calculation: f''(x) = -3 * (-sin(x)) = 3sin(x)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the second derivative of the function. $\newline$ $f(x) = -3\sin(x)$ $\newline$ $f''(x) =$ $\_\_\_\_\_\_$

View step-by-step help

Home

Math Problems

Calculus

Find second derivatives of trigonometric, exponential, and logarithmic functions

Full solution

Q. Find the second derivative of the function.

\newline

f(x) = -3\sin(x)

\newline

f''(x) =

\_\_\_\_\_\_

Find Derivative of $f(x)$ : Find the first derivative of $f(x)$ . Reasoning: The derivative of $\sin(x)$ is $\cos(x)$ , and we need to apply the constant multiple rule. Calculation: $f'(x) = -3 \cdot \cos(x)$
Find Second Derivative of $f(x)$ : Find the second derivative of $f(x)$ . $\newline$ Reasoning: Now, take the derivative of $f'(x) = -3\cos(x)$ . The derivative of $\cos(x)$ is $-\sin(x)$ . $\newline$ Calculation: $f''(x) = -3 \times (-\sin(x)) = 3\sin(x)$