U() U(t) 1999 4.2 2004 5.5 2000 4.0 2005 5.1 2001 4.7 2006 4.6 2002 5.8 2007 4.6 2003 6.0 2008 5.8

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Find the first and second derivatives of the functions in Exercises ( E q² +3 12q

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: B) Find the third derivative of the function: Y = + VX3 %3D

A: We have to find third derivative

Q: h(x)=In( x² ) +(x³-1 ) es*-10 Calculate the derivative at x=2, that is h'(2)=

A: Use chain rule of differentiation First differentiate with respect to x and then put x =2

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

A:

Q: b. Use the differential you've just calculated to estimate the value of 9.2

A: Given that y=x-4. We need to find i)dy when x=13 and dx=0.2. ii) we need to calculate the value of…

Q: Find the derivative of the function

A:

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

A:

Q: Find the first and second derivatives of the functions in Exercises

A:

Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

A:

Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

A:

Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

A:

Q: Find the derivative of the function. y = cos(a4 + x4) y'(x) =

A: The given function is y = cos(a4 + x4)

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

A:

Q: Find the third derivative. 1 (x + y)Z + (x – y)Z = a

A:

Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

A:

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

A:

Q: What is the second derivative of f (x) = e²?

A:

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

A:

Q: Let y" = e* (g(x)) be the second derivative of y = Determine the value of g(X) if X= -4. (Use three…

A:

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

A:

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per…

A:

Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

A:

Q: What is the derivative of y = (x2 + 1) e-3 ? O y = (x² +1) (e-3) + xe² - 3 O y = (x² +1) (e*-3) +…

A: It is required to find the derivative of the given function.

Q: What is the derivative of y e3a + 1 3e3 %3D (e + 1) 3e3z (e + 1) O y = 12e6 +3e3 %3D (ed + 1) O y =…

A:

Q: Find the derivative of the function g(t) = et et+e-t

A:

Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

A:

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

A: fx=e2x3

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

A:

Q: Find the derivative of h(x) = e³ + Vx + lnx. I

A:

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

A:

Q: Find the derivative of f (a) = e" (x² + 2).

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: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

A:

Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: What is the second derivative of * f(x) = e²?

A: We have to find second derivative of the function: fx=ex2 We know the formula of derivatives,…

Q: Find the derivative of the function.

A: Given- gx=∫1cosx1-t23dt To find- The derivative of the above function. Concept Used- Using the…

Q: 19. Determine the derivative of f(x) = e* coshx. O a. e2x O b. ex O c. e4x O d. e5x

A:

Q: Let y" = e*(g(x)) be the second derivative of y = Determine the value of g(x) if x = -4. (Use three…

A:

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A:

Q: (n2 – 1)* 31. H (r) = (2г + 1)8

A: In the question it is asked to calculate the derivative of H(r)=(r2-1)3(2r+1)5 using chain rule.

Q: e2x %3D e2a + 1

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: