af e following, the dot notation is used to indicate the time derivative of a function, i.e. f = 1. Consider the following multi-variable function, f(x,x,t) = 20xx + x³t + 5x +i Calculate the following: a. af /ðt b. ôf /ðx c. ôf /ðx d. ) d (af dt \ax.

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

A:

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

A:

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: 10. y = 5x2 + tan(x) 10x-sec2(x)) y' : 2/5x²+cot(x) a. o b. y' = 10x+sec²(x)) 5x²+tan(x)…

A:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr de…

A: Solution:

Q: Calculate the derivative of the following functions

A: Given: y=fx gx5 To determine: Derivative of the given function

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: graph of the derivative f. -2 2 -2 2 XI

A: The graph of the function fx is  To Sketch: The graph of the derivative f'x

Q: 1 (a) y = Va2 -- csc(2x) + 3 +1' (b) y = sin x

A: Compute the derivatives of the following functions (a) x2/3-cosec(2x)+1/π (b)( (x2+1)/sinx)3

Q: The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price,…

A: The pounds of bananas sold each week at all Metro Seattle Albert sons stores as a function of price,…

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: