MAT 133 : Differential Calculus

AT&T * 91%- 2. [13 + 13 + 14 = 40 points] Evaluate the integral. Hint: Try the method of substitution. cos dx 3.10 pointsl Find the derivative of the following functions (using the fundamental theorem of calculus part 1)

Find the derivative of the following functions: f(x) = (4x5 - 3x4 + 7x3)9 g(x) = cos(2x2) Use implicit differentiation to find dy/dx for the relation x2 - 2xy + 3y2 = sin(xy)

Find the derivative of the following function F(x) = s2 / 4 + 4s4 ds using the appropriate form of the Fundamental Theorem of Calculus. F(x) =