of lf" (x) [0,2] f(x)=√1+x² HINT: Much like the previous question except that you are focussing only on the max. Input your function as surd((1+x^2),2); Let your second derivative function equal abs(df2); assuming that df2 is the second derivative. Substitute your endpoints 0 and 2 into your absolute value second derivative function. Find third derivative and solve it for x. Substitute the result obtain into your second derivative absolute value function. Compare all y-values obtained for maximum value. 5) Find the maximum value of on the indicated interval.

Q: SOLVE THE IMPLIED FUNCTION BY OBTAINING THE DERIVATIVE = 2x4y3 -xy² + 1; z = dz dy

A: Explanation:

Q: Given f''(x) = 8x- 2 and f'(- 2) = – 2 and f(- 2) = 3. Find f'(x) = and find f(3)

A: Solution:

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

A:

Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: h(x) = (x − 3)º(5x² + 3x)²

A:

Q: Find the derivative the following functions. a) h(x) = 4√√x+3x8 +5ex + π² x³-6x²+8x b) g(x) x²-2x =

A: The given functions are The aim is to find the derivative of the given functions.

Q: Use the product rule to find the derivative of ?(?) = √?(?2 + 8). The spirit of the  problem is to…

A:

Q: h (t) = 9t³ - 7t +5 t³et 8 5t5

A:

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: Please solve and simplify

A: To determine the first order derivative of the function.

Q: - 3 If f(x) 24 (Please use the shortcuts to find the derivative.) + 16√√x, find f'(x).

A:

Q: 4. Explain the steps to find the derivative of the given function using the first principles y = √√x…

A:

Q: f(x) = Vx2 + 5x-

A: We have given the function;