(a) (b) (c) (d) 30. y y = fa(x)

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 derivative of function. z = 10ylog y

A:

Q: find the derivative of y=4e^-2/t

A:

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find derivatives of the function defined as follows. y = -4e-0.3x

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: B) Using the definition of derivative, find -if y = dx 1-x

A:

Q: Q1) Find the Derivative to the function and find local minimum and local maximum points y = 3x? - 3

A: y=3x2-3 We need to find the derivative of the function and to find the local minimum and local…

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

A:

Q: Using the definition of a derivative, find y (5) given y(z) -6z+4 6z-2 %3D Provide your answer…

A: Given function: yx=-6x+46x-2

Q: Find the derivative of the function. 4x +6 y-D y'3D

A:

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: Find derivatives of the function defined as follows.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Find the nth-order derivative of the function y=x2cosx.

A:

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivatives of the functions y = 1/xsin-5 x - x/3cos3 x

A:

Q: Find the derivatives of the functions in Exercise

A: Given: y=x2+1x+5+1x Differentiating y with respect to x, dydx=ddxx2+1x+5+1x+ddxx+5+1xx2+1…

Q: find the derivative of y=√e^x +1

A: The given function is

Q: х3 — 7 4.) у %3 7 - х' ,3 X y' =

A: Given function, y=x3-77-x3

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

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: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: - 5 then what is the derivative of y with respect to x?

A:

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: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Find the derivatives of the functions y = xe-x + e3x

A:

Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

A:

Q: Find the derivatives of the functions y = 2e-x + e3x

A:

Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

Q: f y=x^2(e^x)

A: Derivative: ddx(u.v)=u.dvdx+v.dudxy=x2(ex)Here u=x2,v=ex

Q: Find derivatives of the functions defined as follows: . y = -8e3x

A: Given: y = -8e3x Formula used: If f(x) is any function and k is a constant then ddxkf(x)=kddxfx…

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

A:

Q: Find the derivative of the function. y = − 3/(t − 2)4

A: y=-3t-24⇒y=-3t-2-4

Q: Find the derivative of the function. y = etan(8) y' =

A:

Q: 1 y х — 3 ||

A: Explanation of the answer is as follows

Q: 2x Find the second order derivative of y = Tan 1-x

A:

Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: I'm trying to find the derivative of  y = x * e^x

A:

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

A:

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

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: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)