tangent line approximation2 [Notes & HW Answers] 3.9 Linear Approximation [Prepwork 3.9] Q1. What is the value at x=.1 of the local linearization L(x) of (1+x)^5 at x=0? A: L(0.1) = 1.5 Q2. Suppose you use the tangent line approximation near t=4 to estimate s′(4.05), where s(t) is a function that is always concave up. Then your answer is an A: underestimate Q3. Suppose the linear approximation of g(x)g(x) near x=6 is given by L(x)=5(x−6)−12. A:Then g(6) = -12 and g'(6.. 2022. 11. 21. [Notes & HW Answers] 3.1 Powers and Polynomials [Prepwork 3.1] Q1. For the derivative of 6x^6+4x^5+1x^4, what is the value of the coefficient of x^5? A: the coefficient is 36. Q2. Find the slope of the tangent line to f (x) = x^3 +x^2 +6/x at the point where x = 1. A: -1. [HW 3.1] Q1. Find the derivative of h(q) = 1/(q)^(1/4) . A: h'(q) = (-1/4)*(1/(q)^(4/5) Q2. Find the derivative of y = 10t^5−8t^(1/2) + 9/t. A: dy/dt = 50t^4-4t^(-1/2)-9t^(-.. 2022. 10. 28. 이전 1 다음
