Find The Derivatives Of The Following Functions, And Simplify Into The Forms Specified. (A) G(X) = X^7 (4 Ln X+3). The Derivative Of G(X) Can Be Expressed In The Form G'(X) = X^6 H(X), Where H(X) Is Some Function Of X. Find H(X). Answer: H(X) = . (B) Y = Ln(3e^2x +X^7). Answer: Dy/Dx = . (C) F(X) = 3 Ln X/3 Ln X ?4 . The Derivative Of F(X) Can Be

 

 

 

 

(1 pt) Find the derivatives of the following functions, and simplify into the forms specified. (a) g(x) = x7(4 ln x+3). The derivative of g(x) can be expressed in the form g'(x) = x'h(x), where h(x) is some function of x. Find h(x). Answer: h(x) = (b) y = ln(3e2x+x7). Answer: (c) f(x) = dy = dx 31nx 3 ln x 4 The derivative of f(x) can be expressed in the form f'(x) = Answer: k(x) = (d) r(x) = 6 ln(tan x + secx) + In(2 tan x) + 4 In(secx). Answer: r'(x) = k(x) x(3 ln x-4) where k(x) is some function of x. Find k(x). Hint. Simplify your answer so that you won't need to use too many brackets.