Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph of f' below it. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. You are given the following function. = 1000-x-1 Exercise (a) Find the derivative of the function using the definition of derivative. Part 1 of 2 To find the derivative of the function, we will use the formula f'(x) lim h0 f(x + h) - f(x) we have For f(x)=x f'(x) = lim ho (4 = lim h0 h h h )-)-(-) This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. You are given the following function. = -- Exercise (a) Find the derivative of the function using the definition of derivative. Click here to begin! Exercise (b) State the domain of the function. Part 1 of 1 Since the given function f(x) = x - 1 is linear, its domain is as follows. Submit Skip (you cannot come back) This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. You are given the following function. Rx)-+x-1 Exercise (a) Find the derivative of the function using the definition of derivative. Click here to begin! Exercise (b) State the domain of the function. Click here to begin! Exercise (c) State the domain of its derivative. Part 1 of 1 In a previous part, we found that the derivative of the function is given by f'(x) = . The domain of the derivative is as follows. Find the derivative of the function using the definition of derivative. f(x) = 7.5x-x+2.2 f'(x) State the domain of the function. (Enter your answer in interval notation.) State the domain of its derivative. (Enter your answer in interval notation.) Need Help? Read It Watch It [-/3 Points] DETAILS SESSCALC2 2.2.023. Find the derivative of the function using the definition of derivative. g'(x) = g(x)=9-x State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Find the derivative of the function using the definition of derivative. G(t) = 1 - 5t 6+t G'(t) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Need Help? Read It [-/2 Points] DETAILS SESSCALC2 2.2.033. The graph of f is given. State the numbers at which fis not differentiable. x= x= (smaller value) (larger value) 0 2 x The graph of fis given. State the numbers at which fis not differentiable. x= x= (smaller value) (larger value) y C Need Help? Read It Watch It x -/2 Points] DETAILS SESSCALC2 2.2.036. The graph of f is given. State the numbers at which fis not differentiable. x= x= (smaller value) (larger value) -2 x Find 0118 -(sin x). dx118 Need Help? Read It [-/2 Points] DETAILS SESSCALC2 2.3.032. Find the first and second derivative of the function. G'(r) = G(r)=r + r G"(r) Need Help? Read It Watch It DETAILS SESSCALC2 2.3.003. [-/1 Points] Differentiate the function. f(t) = 8 f'(t) = Differentiate the function. f(x) = x6 - 5x+2 f'(x) Need Help? Read It Watch It . [-/1 Points] DETAILS SESSCALC2 2.3.007. Differentiate. f'(x) = f(x)=3x-4 cos x Need Help? Read It DETAILS SESSCALC2 2.3.009. . [-/1 Points] Differentiate the function. g'(x) = g(x) = x(1-6x) Need Help? Read It . [-/1 Points] DETAILS SESSCALC2 2.3.010. Differentiate the function. = h(x) (x 2)(3x+5) h'(x) =