Assuming a, b and k are constants, calculate the following derivative: kt %3D dt 7 2 |x : -4 1 Find a value of k so that ekt is a solution to æ ': %3D k = 7 2) |x : 1 Find a value of k so that ekt is a solution to æ' = -2 -4

Q: SOLVE THE IMPLIED FUNCTION BY OBTAINING THE DERIVATIVE = 2x4y3 -xy² + 1; z = dz dy

A: Explanation:

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

Q: Dy = le, () logs Csc 2y tan X

A:

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Give your answer as a rate, accurate to five decimal places. What gain would offset a 13% loss?

A: Please refer to solution in next step

Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

A:

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

A:

Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2.…

A:

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

Q: 9 The residue of 6 (mod 5) is (Round to the nearest whole number.)

A:

Q: Determine the derivative of the given function: ソ=c 3 y = e x2

A:

Q: N or 8x 5 y 3= . 4x 2

A: Given function is y=8x+54x-2 To find derivative of the given function. Solution: Quotient rule of…

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution

Q: Find the derivative of the given function:

A:

Q: Show a Check for each. In othe 4) Find a. / (z + 4) dz

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: