Man (1 point) Get help entering answers See a similar example (.PDF) The goal of this...

 

 

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Man (1 point) Get help entering answers See a similar example (.PDF) The goal of this problem is to use the definition of the derivative to find f'(x) for the function f(x) = 3x +5. First, note that for h 0, the expression f(x + h) f(x) h can be written in the form Ax+Bh+C where A, B and C are constants. Find these constants. A = B= M M M C= Note: It's possible for one or more of these constants to be 0. Now use the definition of the derivative and your answer to the previous part to find the derivative function f'(x). f(x + h) f(x) h ANSWER: f'(x) = lim h0 M Next, use your answer from the previous part to find the value of the derivative function at the indicated point. f'(4) = f'(-6)= M Answer: m = Finally, find the slope, m, of the tangent line to the curve y = f(x) at the point (4, f(4)). M Man (1 point) Get help entering answers See a similar example (.PDF) The goal of this problem is to use the definition of the derivative to find f'(x) for the function f(x) = 3x +5. First, note that for h 0, the expression f(x + h) f(x) h can be written in the form Ax+Bh+C where A, B and C are constants. Find these constants. A = B= M M M C= Note: It's possible for one or more of these constants to be 0. Now use the definition of the derivative and your answer to the previous part to find the derivative function f'(x). f(x + h) f(x) h ANSWER: f'(x) = lim h0 M Next, use your answer from the previous part to find the value of the derivative function at the indicated point. f'(4) = f'(-6)= M Answer: m = Finally, find the slope, m, of the tangent line to the curve y = f(x) at the point (4, f(4)). M

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To find the constants A B and C in the expression Ax Bh C for fxhfx we first ... View the full answer