(1) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) = [cos t dt (2) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x)= = = L 16 1/ arctan t di (3) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) = 6+rdr please do all the following questions. thank you for the hard work. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functio g'(s) = g(s) = f (-14)dt Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function y = (tan(x) St+ dt y' = 12 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functio + sin(6t) dt g(y) = 1" 12 g'(y)= Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the funct 1/x h(x) = arctan(t) dt For the next nine problems, apply It's formula to calculate df(x(t)): Problem 18.5. f(x) = cos x and x(t) = (W(s) + 1) ds +W(t). Problem 18.6. f(x) = e and X(t) = W (s) dW (s) + ft 3s dW (s) cost. Problem 18.7. f(x) = x/2 and X(t) = (W (s) + e) dW (s) + s ds + et. 18.5. It's formula. This is the main formula in stochastic calculus. Take a stochastic process X = (x(t), t 0) with quadratic variation (X)t. Consider a function f: RR. Apply f to X(t) and get Y(t) = f(x(t)). Then (67) 1 dY(t) = '(x(t)) dX(t) + " (X(t)) d(X)t. 5.