Show that so that [*_da'ƒ (a'ſõ(ª − ¶') = ™** ªqÿ(¶')ƒ(q − q'), ƒ®ğ=gof.

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

A:

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

A:

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: -5 F' A' Ε' LD C' B' --5- D' 5

A:

Q: Evaluate

A:

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: Let f(x)=1/x^2+1 Find f'(1) Write the anserw in decimal form

A:

Q: Find Ax) if A1)--, and the tangent line at x has slope (3x- 1)e-*.

A: Let equation of tangent line is  y=mx+c

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: neslope of the tangent line to the curve entline defined by x-2x4-443=-208 at the point (2,4)…

A:

Q: 1 3x Find the equation of the line tangent to y= e at x= In 5.

A:

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Suppose that S(m)3(4#-4)*(32+ 1). Find f'(#), and then evaluate f' at # = 1 and # = -1 (1)= 1(-1)=

A:

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: *) = (" ; ') - Show that :

A:

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule