7. Given f(x) x + 1 write an equation for the inverse 3' function.

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

A:

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the second derivative of the function. 10. f(x) = 4x3/2 11. g(x) = x-1 12. h(x) = sec x

A:

Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: sin (x+1) dg(x) de f(x) +Vx+5 2 given f(x)= 3x + In 5x and g(x)=: Find

A: This is very complicated & lengthy problem.We have to think deeply to solve this…

Q: 1 Find the derivative of f(x) = 2x + 3

A:

Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: x²Sin(x) y = In 2x + 1 9.

A:

Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

A:

Q: Find the derivative of the function

A: Given function:

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

A:

Q: sin (x+1) 5. Find dx g(x), given f (x) = 3x +In |- 5x and g(x)=: +Vx+5

A: Use derivative rules

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: 5. Find the derivative of y= x' +2x -1

A:

Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: 5. y = x3 – x²Cos(x)+ 2xSin(x) + 2Cos(x) -

A:

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: How to solve the derivative of this

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x²;…

A:

Q: Differentiate the following equation.  f(x)= (ln x)3 ex

A: Given:- f(x) = (ln(x))3 ex  To find :- Differentiate the given function f(x)

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

A:

Q: 8. f(x) = (2(3x+1)(3)) (4x – 1) – (3x +1)²(4) (4x – 1)2 Note: This is the form that the first…

A: We have Fx=23x+134x−1−3x+1244x−12Fx=36x2−18x−104x−12

Q: If q(x)=4e^x+9, determine the anti derivative of q(x). Do not include the constant C in answer)

A: Answer and explanation is given below..

Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: 8. y (1 + x³)(3 – 2x) 10. y = (x2 + 3)(x² – x + 1

A:

Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

A:

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

A:

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

A:

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 8. y = In (x³ + 3x – 4)

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly…

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

A:

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

A:

Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y = (1+x)² 2 x² 2

A:

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: 22. Find the derivative of the following function. f(x) = 14x6 – 34x + e² f'(x) =

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

Q: 1 Find the derivative of each function: b) f(x)=(x'+3x² +7)° 2x+1 b) f(x)=- (x+2x)°

A:

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: (4) Find the derivative of h(x) = 5x³esec(x) .3 %D

A: We need to find the derivative of

Q: Find the derivative of the given function. 7⁰0 8 Y + 7 √√x (ln(7.7))" y' 7 = 4 3 X2 X

A: