Find the first and second derivatives of h(t) = 5131 - 7t-3.4. . h' (t ) = . h"(t) =Given f(:1:) : 3:4 9:33 + 243:2 20:1: : a) Use the power rule to find f'(m) = 1 1 and f\"(:r:) = i 1 ' ' b} f'(0) = This value tells us that f(;r:) is at x = 0. c) f\"(0) : This value tells us that f(a:) is at x = 0. cl} f'(1) : This value tells us that f(:1:) is at x = 1. e) f\"(1) = This value tells us that x) is at x = 1. f) f'(3) : This value tells us that f(:.c) is at x = 3. g) f\"(3) : This value tells us that f(:1:) is at x = 3. If f(ac) = 6vac (23 - 5vac + 3), find f'(a). Find f'(3). Question Help: D Post to forumObjective [1.8] An investment of $8,100 earns 11.8% per year. One model for this would be A(t)= 8,100('| .1181)t Calculate the derivative to determine how fast will the account will be growing at year 8. Answer: $1 year (round answer to nearest $1fyear) Find the derivative of f(a:) : 7em+2 + e5. f'=1 1 Evaluate f'([}) : 1 1 (Round to 2 decimal places.) Question Help: 0 Post to forum The slope of the tangent line to the parabola y = 43:2 + 2:1: + 4 at the point (4, 76) is: The equation of this tangent line can be written in the form :1; : mm + b where m is: and where bis: ' Question Help: D Post to forum The slope of the tangent line to the curve y : 3:1:3 at the point (5, 375) is: The equation of this tangent line can be written in the form y : mm + b where m is: and where bis: Next Determine the equation of the tangent line to the graph of y = 4x + 1 + 6e at the point (0, 7). . Equation of tangent line: y = Question Help: D Post to forumGiven the function f(:1:)= 9:1: 1 7e\": Determine the equation of the tangent line at the point (0, 8). Question Help: E] Video Q Post to forum Given that for) = w5h(w) h(1) = 2 h\"(1) = 5 Calculate f' (1). ' Hint: Use the product rule and the power rule. Question Help: E] Video 0 Post to forum Use the product rule to find the derivative of (-323 + 82 10) (9e" + 3) Use e^x for e". You do not need to expand out your answer. Question Help: Video D Post to forum\f{1) Which is a correct forr finding the derivative of the product of two functions? 0 (ab)'= a'b + ab' 0 (ab)'= a'+b' O (ab)'= a'b' (2) Use the correct formula above to find the derivative of the function f(:1:) = (3:8 + 12) . 01234567 The graphs Of the linear fUHCtion f and the linear function g are shown in the figure above. If 5(3) f{m)g{m) . then h'{4) _ Which is a correct formula for finding the derivative of the product of two functions a and b? by: 0'5! 0 (ab)'= (1'!) + ob' O (ab)'= a'+b' \"l 5: Use the correct formula above to find the derivative of the function f($) = (1:3 + 7) . Question Help: D Post to forum