. We want to compute the derivative of the following function. g(x): = e5x2 (tan(x))3 24...

  

Transcribed Image Text:

. We want to compute the derivative of the following function. g(x): = e5x2 (tan(x))3 24 a) Use the properties of the logarithmic functions to simplify the formulation of In g(x)|. Answer: In g(x) = A(x) + B(x) + C(2), where [A(x), B(x), C(x)] = are non-trivial terms. Don't forget the square brackets and use the calculator notation (e.g. 3x4 is written 3 * x^4. Moreover, |f| is denoted abs(f). b) Compute the derivative on both sides of the equality in (a). Answer: da In g(x) Your answer should involve only g; MapleTA doesn't understand the functional notation g(x) and treats it as the product of g with a. da (A(x) + B(x) + C(x)) = c) Compute the derivative of g. Answer: g'(x) = 2. Compute the derivative of the following function. f(x) = = (10% (6x² + 1)²) 7 (4x7 - 4)² a) Use the properties of the logarithmic functions to simplify In|f(x)|. Answer: In f(x) = A(x) + B(x) + C(x), where [A(x), B(x),C(x)] = are non-trivial terms. Don't forget the square brackets. Use the calculator notation (e.g. 5a³ is written 5* x^3) and note that |g| is written abs(g). b) Compute the derivative on both sides of the equality in (a); namely, compute : d -In|f(x)| = da and |A'(x), B'(x), C'(x)] = c) Compute the derivative of f. Answer: f'(x)= . We want to compute the derivative of the following function. g(x): = e5x2 (tan(x))3 24 a) Use the properties of the logarithmic functions to simplify the formulation of In g(x)|. Answer: In g(x) = A(x) + B(x) + C(2), where [A(x), B(x), C(x)] = are non-trivial terms. Don't forget the square brackets and use the calculator notation (e.g. 3x4 is written 3 * x^4. Moreover, |f| is denoted abs(f). b) Compute the derivative on both sides of the equality in (a). Answer: da In g(x) Your answer should involve only g; MapleTA doesn't understand the functional notation g(x) and treats it as the product of g with a. da (A(x) + B(x) + C(x)) = c) Compute the derivative of g. Answer: g'(x) = 2. Compute the derivative of the following function. f(x) = = (10% (6x² + 1)²) 7 (4x7 - 4)² a) Use the properties of the logarithmic functions to simplify In|f(x)|. Answer: In f(x) = A(x) + B(x) + C(x), where [A(x), B(x),C(x)] = are non-trivial terms. Don't forget the square brackets. Use the calculator notation (e.g. 5a³ is written 5* x^3) and note that |g| is written abs(g). b) Compute the derivative on both sides of the equality in (a); namely, compute : d -In|f(x)| = da and |A'(x), B'(x), C'(x)] = c) Compute the derivative of f. Answer: f'(x)=