Find the derivative of the function. y = (5x - 1)4(8x² - 1)-3 y' = 20(5x−1)3 (8x² - 1)³ 48(5x−1)4 (8x²-1) 4

Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: (x² + y³ )dx + 2xydy = 0

A: TO SOLVE THE GIVEN  DIFFERENTIAL EQUATION

Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

A: Given,

Q: d 3) (2a)* = (Derivative of an exponential %3D function)

A:

Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

A:

Q: Find the 2nd derivative of y = 3x6 + 7x %3D O 90x3 O 18x4+7 O 18x5 + 7

A: y=3x6+7xTo find the 2nd derivative

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

A:

Q: Find f. f"(x)  =2/3x2/3

A:

Q: y = (x² + 1 ) ( x + 5 + ) Find the first derivatives of

A: To find the derivative of y

Q: for

A:

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

A:

Q: y = x2/2x2 + 3 at x = 2

A:

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: Find y'

A: given

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Find f'(x) and simplify. f(x) = (0.2x + 2)(0.6x - 9) Which of the following shows the correct…

A: f(x)= (0.2x+2)(0.6x-9)

Q: Use the quotient rule to find the derivative of the function. y= 3x+1 8x+7 What is the correct way…

A:

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

A:

Q: Find y'. y=x V6x - 1

A:

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

A:

Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

A:

Q: Find derivative х3 — ху? + у3 1

A: In implicit differentiation on differentiating y, we need to use dy/dx

Q: Find f'(x) and simplify. f(x)=2x5 (x²-3)

A: Given: We have to find  and simplify.

Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

A:

Q: Y=0.83x +0.0094x2 +0.000042x3 Take out derivative of the given function.

A:

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.