1. Using Definition of Derivative to find f'(x): a) f(x) = 2x² b) f(x) = x³ c) f(x)=√x+1 d) f(x) == e) f(x) = 2x³ 2. Find f'(x): f) f(x) = √6 g) f(x)= x²(x³ + 5) h) f(x) = √2x + (+2) i) f(x) = (+) (3x³ +27) j) f(x) = 3x+4 x²+1 k) f(x) = (x³ + x)(x²-x) 1) f(x) = (3x+²)(x-5 + 1) m) f(x) = =+ sinx n) f(x) = x² cos x + 4 sin x o) f(x) = sin x 3. Use implicit differentiation to find dx p) 5y2 + sin y = x² 9) + = 1 r) x cos y = y s) 2x²-3y² = 4 1) y + siny = x

Q: ●y = (x+1)² √x+1 W= t+1 t-1 -t -)×(1-1 1-2t

A:

Q: f (x) = sec(x)(3x + √x) find the derivative

A:

Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: Find the derivative of f (x) = csc-1(e2x²) - 4x A 2x2 ‚4x 2 4x B 4x 2 - 1 - 4x 4x2 4х D Ve42

A:

Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: Find the derivative of the f(x) = px + b %3D f'(x) = %3D

A: differnetiate f(x) with respect to x.

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

A:

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

A:

Q: f(x)= 4/x , x=3. Use definition of derivative as x approaches 0

A:

Q: Find the derivative

A:

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

A:

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

A:

Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

A: