The diagram below shows the graph of f(z) and its first and second derivatives. By using the graph labels, list the curves that represent f(=), f'(=), f"(z), respectively. Give your answer as, for example, B, C, A. Curee A Curve B 3. Curve C -2 2.

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: Find the derivative of function defined as follows.

A: Given:  y = 6x4 - 2x3 + 5x+ 3To Find:  Derivative of y that is dydxSolutionWe will find the dydx by…

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: Find the derivative of the functionf(x) = Vx – 2. Provide your answer below: f'(x) =O

A: We have to find derivative

Q: Find the derivatives of the function defined as follows. y = 2x sec 4x

A: Giveny=2xsex4xTo find derivative of y

Q: Find derivatives of the function defined as follows.

A:

Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

A:

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

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 derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: Consider the following equation f (x,y) = x²y. Find the derivative of f in the direction of (1, 2)…

A:

Q: Find derivatives of the function defined as follows. y = 5e-4x

A:

Q: Find the derivatives of the function defined as follow y = 2 tan(2x + 8)

A:

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

A: Find the derivative

Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given f(x)=(1-x)23  To find  Find left-hand limit derivatives from the left and from the right at x…

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 the function: f(x)= e^x÷x^2

A: Given,

Q: Find the derivatives of the functions y = 2√x - 1 sec-1 √x

A: Given: y=2x-sec-1x we differentiating given function and then simplify it

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: fx=1-x23 To Find:  To find the left hand derivative LHD and right hand derivative RHD and to…

Q: cosx y =-

A:

Q: Find derivatives of the functions defined as follows: y = (x + 3)2e4x

A: Chain Rule of differentiation: ddxf(g(x))=f'(g(x))g'(x) Product Rule of differentiation:…

Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

Q: Find the derivatives of the function defined as follows. y = -3e2sin x

A: The function: y=-3 e2 sin x

Q: Find the derivatives of the function defined as follow y = cos5 x

A: To find the derivative of the function, y=cos5x, use the power rule, ddx(xn)=nxn-1 and the chain…

Q: Find derivatives of the functions defined as follows: y = xex

A: Find derivatives of the functions defined as follows: y = xex

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: Find derivatives of the functions defined as follows: y = 4-5x+2

A: Given: y=4-5x+2

Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3)…

A: Given query is to find the value of x where seri is -1.

Q: Find derivatives of the functions defined as follows: y =x2e-2x

A: From the given data:

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: Find the derivatives of the functions h(x) = x tan (2√x) + 7

A:

Q: 1 y х — 3 ||

A: Explanation of the answer is as follows

Q: Find the derivatives of the functions defined as y = ecos x

A: Derivative of ex=ex Derivative of cos x =-sin x

Q: Find the derivatives of the functions defined as

A: Given: y=cosecxx We know that ddxuv=vdudx-udvdxv2                                        ..1

Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Find derivatives of the functions defined as follows: . y = 1.2e5x

A: the given function is: y=1.2e5x we have to find the derivative of the given function.

Q: at x= 1

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

Q: Find derivatives of the functions defined as follows: y = e4x

A: The derivative of function to be found out is y=e4x

Q: Find the higher order derivatives for f (x)=x^5, what is f^(6) (x)?

A: According to the given information f(x) = x5 and it is needed to calculate f6(x).Since, if p(x) is a…

Q: Find derivatives of the functions defined as follows: y = ex2

A:

Q: Find the derivative of the function y = csch−1 (1 − x)

A:

Q: Find derivatives of the functions defined as follows: y = 4e2x2-4

A: We have  y=4e2x2-4 Then, dydx=d4e2x2-4dx=4de2x2-4d2x2-4.d2x2-4dx=4e2x2-44x=16xe2x2-4

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)

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: