1.7 What is Se{f(y) + f'(y)}dy equal to? а. ef(y) + C e f'(y) + C e' f'(y) + f(y) + C b. С. d. f'(y) + f(y) + C e + f'y) + C е.

Q: Given that f(u) = ln7 + 4u - 15e9 - 7u-3. Determine the value of f''(0). a. Negative Infinity b.…

A: Given function is , f(u)=ln7+4u-15e9-7u-3 differentiating with respect to u, f'(u)=4+21u-4…

Q: polmto The value of (i)" is = O T/2 O -T/2 O e^(-Tt/2) e^(T/2)

A: Solution ) i = cos π/2 + i sin π/2  i = eiπ/2 i-i  = e(iπ/2)(- i ) i-i = e-π/2 (i × i ) [ i × i = -…

Q: 3. Find f. 1 (d) f'(x) = (e) f'(x) = 5 (f) f'(t) = at + vo

A: To find the function f from its derivative,integrate f'  with respect to the given variable. Use the…

Q: if f(x)=√x−3 and g(u)=e^u=e^u+3 (a). find (f o g)(u) (b). find (g o f)(x)

A:

Q: 5. f'(x) does not exist for x = А. 1 only B. 1 and 2 C. 2 and 6 D. 0,1,2, and 6

A: Note f'(x) of constant is 0 always

Q: 4 - Let y = f(x) = (a) Find f-'(y). (b) Solve the equations f(x) = a for a = –1,0, 0.5, 2, 3.7, T,…

A:

Q: Use the equation f(x)= x³ –1 to determine: f(3) = ? а. b. If f(x) = 7,then x = ? с. f"(26) = ? d.…

A: Solution:Given  f(x)=x3-1To find:(a)f(3)(b)f(x)=7  then x=?(c)f-1(26)(d)f-1(63)

Q: 9. If f(x) = e3x, then (f-1)'(x) = %3D 2 А. e3x В. e3x 1 С. 3e3x D. 3x

A: Given: y=e3x for finding given derivative, first we find inverse of given function for that we take…

Q: If $(x) = (x-1)?, X$I, then f lo?

A: The function f (x) is given as: fx=x−12,x≤1Find the inverse of the function  fxy=x−12…

Q: 7. g(t) = tỉ 3 8. f (t) = (10t) 9. f (t) = tg'(t)

A:

Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find g'(4) given that f(4) = -10, f'(4) = -9, and g(z) = Vif(x). %3D

A: Consider the handwritten solution.

Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

A:

Q: 6. The solution of the equation 3(1 + 401) mately) (a) None. (b) 69.3 (c) 0.693 (d) 6.93 = 27 is…

A: 6. Given:3(1+4e0.1x)=27Solving for x, we have:33(1+4e0.1x)​=327​1+4e0.1x=94e0.1x=9−14e0.1x=8Dividing…

Q: For the function f(x) = find f'(x). Then find f''(0) and f'"(4). 6 + x' f'"(x) = Select the correct…

A:

Q: f(x) = x + 4.5x² – 12x – 3 a) Find the first and second derivatives. f'(x) = 3x^2+9x-12 f"(x) = 6x+9…

A:

Q: 10. Differentiate F(x) = S^ t³dt. А. 8t7 В. 4х2 C. 8t7 · 4x2 D. 3x26

A:

Q: ' 2 (а) f(x) dx 0. |4 5 (b) f(x) dx 7 (с) f(x) dx 9. (d) f(x) dx

A: (a) The given integral represents the area under the curve from 0 ≤ x ≤ 2. We have to find the area…

Q: 4. f'(x) = 0 for x =

A: We know, f'x=0 for the critical points. Critical points are where local Maxima or minima occurs.

Q: f(z) 2+3x1x², find f'(5).

A: f(x)=2+3x−4x2, find f′(5).

Q: If f(2x) = 5x2 + 3, then f'(2) = %3D О а. 5 O b. 6 О с. 2 O d. 10 O e. 3

A: Given ,  f(2x) = 5x2 + 3 then  We have to find the value of f'(2)

Q: Inx+ 21. f(x) = (Ve) А.f' (x) %3D е2х В. f' (x) 3D 2e* С. f" (x) 3D 2х D. f'(x) %3 х2

A: Topic = Derivative usin formula 1)  eln x = x2) ddxxn=nxn-1

Q: f'5)%=2 U13)=5, U(3)=7, find (fou)'(3)

A:

Q: Differentiate. f(x) = (3x - 5) (Vx +4) O A. f'(x) = 4.5x'/2 - 2.5x-1/2 + 12 1/2 - 1/2 O B. f'(x) =…

A:

Q: If f(x) = V5x – 3, find f-1(x). | 3 x3 + 3 А. f-(x) C. f-1(x) : ==X- 5° 3 3 x3 f-(x) =- f-'(x) = 5…

A: Given, f(x)=5x-33 To find the inverse function, f-1(x) Take f(x)=y . The idea is to solve the above…

Q: Determine the value(s) of æ for which f' (x) > 0 given that f(x) = (-4x² + 25)² 5 00, b) О .o() ()…

A: Solve the function