Soru
Problem Set Problem 86 point) Suppose that f(x)=7x^2/5-8x^6/7 Evaluate each of the followin f'(3)= f'(4)= te: You can earn partial credit on this problem.
Çözüm
4.7
(183 Oylar)
Mete
Elit · 8 yıl öğretmeni
Uzman doğrulaması
Cevap
To find the derivative of the function
, we need to use the power rule for differentiation.The power rule states that if
, then
.Let's differentiate each term of the function separately:1. For the first term,
: - Using the power rule, we get
.2. For the second term,
: - Using the power rule, we get
.Now, we can evaluate the derivatives at the given points:1.
: - Substituting
into the derivative, we get
.2.
: - Substituting
into the derivative, we get
.Therefore, the answers are: