-5- -4-5- -4- 3.5 -3- 2:5 2 1.5+ 0.5 -0.5 0 +0:5 -2.5 ols 1:5 ·N· 2 (3.3, 3.6) (2.45, 2.98) 215 3 3.5 4 415 (4.93, 1.01) -- 5 (5.34, 0) 515 6 6/5 7 (6.6, -1.6) 1161 (8.12,0) 715 8.5 9 (7.8,-0.45) 915 10 10.5 11

Q: Differentiate

A:

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

A:

Q: Let f(x) = 5x8 5x5 - 7x³ + 4x, find f'(x). Answer: Find f'(2). Answer:

A: Given query is to find indicated derivative.

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

Q: Find invers of function f(x)=1/2x+1

A:

Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: Determine the slope of the secant line for the following function that passes through the given…

A: Topic = Functions

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

A:

Q: Differentiate the function f(x) = 8sinx - 3cosx. Answer f'(x) =

A:

Q: or f(x) = 2x-7 3x - 2

A:

Q: = (F 1-2 f(z) = 3z² + 솔

A:

Q: Find f. f"(x) = 4x3 – 6x² + 5, f(2) = 1, f'(3) = 2 %3D

A: Here, f''(x)=4x3-6x2+5⇒f'(x)=∫(4x3-6x2+5)dx+C             =4x44-6x33+5x+C             =x4-2x3+5x+C…