Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

H(z)=(6−z²)(z³−5z+3)

Use the product rule to find the derivative of the given function.

Sagot :

audreyn06

Answer: (-2z)(z³−5z+3) + (6-z²)(3z²-5)

Step-by-step explanation:

The product rule is given by the formula:

[f(x)g(x)]' = f'(x)g(x) + f(x)g'(x)

For the given function:

  • f(x) = 6-z²
  • g(x) = z³−5z+3

Let's find the derivative both f(x) and g(x) using the power rule:

  • f'(x) = -2z
  • g'(x) = 3z²-5

Apply the product rule:

H'(z) = (-2z)(z³−5z+3) + (6-z²)(3z²-5)

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.