Question: (A) (25|%) Calculate the derivative of y=tanx at x=π4 by first finding the derivative function and second substitutingx=π4.  What is the value of y when x=π4, …

Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that f (x) and g (x) are both differentiable functions of x with values as given in the following table.

Question: Finding a Derivative of a Trigonometric Function In Exercises 41-56, find the derivative of the trigonometric function. 41. f (0) = f sin ! 42. f (a) = (8 + 1) cos 8 sin COS 43. fid = 44. f (x) …

Question: An industrial process requires a large motor to drive a heavy load. The efficiency of the motor isa function of the current (I) in Amp can be expressed as:η (I)=-0.003I-0.3e ( …

Question: This problem is on finding derivative and integral of a function.Consider a polynomial function: f (x)=2x3-6x2+x+4. (a) Determine the first and the second derivatives of f (x).

Math Calculus Calculus questions and answers Finding a Derivative of a Trigonometric Function In Exercises 35-54, find the derivative of the trigonometric function. 35.

Math Calculus Calculus questions and answers Finding a Derivative of a Trigonometric Function In Exercises 39-54, find the derivative of the trigonometric function 39, f (t) = t2 sin t 41 f (t) = …

Question: 33. y = Finding a Derivative of a Trigonometric Function In Exercises 33–50, find the derivative of the trigonometric function. cos 4x 34. y = sin Tex 35. g (x) = 5 tan 3x 36. h (x) = …

Question: Consider the following function. Without finding the inverse, evaluate the derivative of the inverse at the given point. f (x)equalsln left parenthesis 11 x plus e right parenthesis ; (1 …

Here’s how to approach this question To start finding the derivative of y = 6 x 2 1 2 x 2 from first principles, substitute x + h into the function to get f (x + h) = 6 (x + h) 2 1 2 (x + h) 2.