You overhear the following statement. "The deer stopped and stared at me, while time just marched on. It was as if we were both frozen in time, neither of us moving an inch." If D(t) gives the distance between me and the deer as a function of time, t, what can you conclude about the first and second derivatives of the function? and D"(t) is D'(t) is

Q: Find the indicated derivative of the function. 1) d'y of y - 6x5 - 4x2 - 4x + 1 dx4

A: According to bartleby guidelines I have to solve only one question.

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

A:

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: Consider the the following equation. x² y + xy = e Which of the following represents the derivative…

A: To find the derivative of the term

Q: Find the derivative of the following with respect to the given variable 1. 2x -6x + 15x - 18 2. 5y -…

A: Solution: The objective is to find the derivative of the given functions

Q: 15 At which point derivative of the function is 0DS (5 Puan) C D E A B

A: Given is the sketch y=f(x).    To find derivative of the function is 0, look for the point when…

Q: 2. Find the derivative of f (t) = (1²-3)° and simplify your answer as much as possible.

A: We have, f(t)=t2+3(t2-3)2   If we f(x)g(x) form, then the derivative of the function will be,…

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

A:

Q: 25. y = V r² +1

A:

Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Find the derivative of the function. f(x) = 4 tan -1 (e 11x) f'(x) = D

A:

Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: FIND THE SECOND DERIVATIVE OF THE FOLLOWING IN ITS SIMPLIFIED FORM. x = t/t-1 , y = t2/t2-1

A:

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the second derivative of f(t) = [(1+)¹ +1]¹

A:

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: B. Find the indicated derivative. -4 1. у: 2. x2 – 4y2 = 5; y" iy(3)

A:

Q: find the derivative of h(t)=t^3(4t-2)

A: Note:Hi, the given function h(t) = t^3(4t–2) is not clearly specified. The equation can be…

Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

A:

Q: The value of the second derivative of y = f(x) at its point of inflection is A. 1 B. 0 C. -1 D. 2

A: An point of inflection, is a point on a curve where the curve crosses its tangent at that point.

Q: Find the second derivative, d'y where y is related to a implicitly by the equation below. 3a + 2y =…

A: the equation of given implicit function is: 3x3+2y3=12 we have to find the second derivative d2ydx2.

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: Calculate the second derivative of the function y = f (x) defined by the equation x3 + y3 +3xy +…

A: Explanation:

Q: Find the derivative of the given function. y =x² Vx-

A:

Q: Find the first derivative of the following functions and simplify your answer. 1.) y=( 5x-2' 2.)…

A: We will use the following formulas : (f(g(x))' = f'(g(x)) g'(x)  uv' = vu'-uv'v2 1.) y = x3+15x-24…

Q: dV E = dx d(a+bx) E = - dx E = -(b)

A: Consider  V=a+bxE=-dVdx

Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

A:

Q: 11. Find the derivative of the following function. y=2-6e a y'=54r°e b. y' = -54x°e- c. y' = 6e d.…

A: Given function is

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

A:

Q: Find the derivative of the function y = - 9 + 7x . dy II

A:

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 1. Find the derivative of the function y = (x² – 1) (2x² – 3). | 2. Differentiate g (x) = x+1l x+2 °…

A:

Q: 5. x= y= t2-1

A:

Q: Find the derivative of f(t) = e+1

A: Given :

Q: y = (1+x)² 2 x² 2

A:

Q: (A) Find the derivative of t2 – 1 y = t2 +1

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

A:

Q: find the 1st and 2nd derivative: x=t3-1 y=t2+t

A:

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: find the following third derivative of y=(3x+2)2

A:

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: f(x) = e²x cos(x) e2

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)

Q: y = (x² + x + 1)²

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.