Differentiate y = tana - 6 sec x 1. y' = cos x + 6 sin r 2. y' 3. y' = 6 cos x - sin æ 4. y = cos x - sin r 5. y' = 6 cos x + sin x = cos x + sin r

Q: lim z0 In(2x + 7) - In(7) H

A:

Q: The graph below is the function f(x). If a limit does not exist, enter the symbol for infinity or…

A:

Q: 38. Find the points on the curve y = 2x³ + 3x² - 12x + 1 where the tangent is horizontal.

A:

Q: 1.) Find the equation of the tangent & normal line to the graph of y = √x-1 at the point (3,2). f…

A:

Q: Differentiate the following function: f'(t) = FI f(t) = √t__1 1-1/1

A:

Q: t continuous: * = t differentiable: * = ter none if there are no x-values that apply; enter x-values…

A: Given query is to find the value of x where function is not continuous and differentiable.

Q: 5. Compute the following derivatives. You do not need to simplify (a) d ((1+e³x) tanx) dx (b) (√sin…

A:

Q: consider the helix r(t)=⟨cos⁡(3t),sin⁡(3t),−2t⟩. Compute, at t=pi/6: find unit tangent vector, unit…

A:

Q: Consider f(x) = x² + 6x + 7

A:

Q: Find points on the curve y = x²e where the tangent line is horizontal (write points in the form (x,…

A:

Q: This answer is incorrect. Can you please solve the question again?

A:

Q: The limit lim h→0 and a. f(x) a = = (2+h)²-4 h represents f' (a) for some function f and some number…

A: Given query is to find  function and a.

Q: The graph below is the function f(x) 8 Ju Find lim f(x) 2-3 Find lim f(x) 2-3+ Find lim f(x) z 3…

A:

Q: -3x The area of the region between the graph of y= e³x and the x-axis for x ≥ 2 is е

A:

Q: The graph of f is given. State the numbers at which f is not differentiable. X = | (smaller value)…

A: Topic = Function

Q: A = B = C = | Now evaluate the indefinite integral. 2x² + 3x + 27 1 9) -dx =…

A:

Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h II if f(x)=-3x - 8. (Simplify your answer.)

A:

Q: Estimate the slope of the tangent line to the curve at the given point (x,y). The slope of the…

A: Topic = Function

Q: Find the first partial derivatives of the function. 2 = (7x + 6у)9 дz ?х дz ду || ||

A:

Q: Evaluate the definite integral [² (11e² + 8x)dx

A:

Q: 10. Identify the location of the relative maxima and relative minima of the function. M -5-4-3-2-1 1…

A: Question -   10. Identify the location of the relative maxima and relative minima of the function.

Q: Find all the values of x where the tangent line is horizontal. 3 f(x)=2x +42x+270x+4 X= (Use a comma…

A: f(x)=2x3+42x2+270x+4for horizontal tangent line slope is zero slope=f'(x)dxndx=nxn-1

Q: Effect of Stopping on Average Speed According to data from a General Motors study, the average speed…

A: Given query is to find indicated derivative.

Q: a) f'(x) if f(x) = 3 ln(x) 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 21п 8 5п 111 О

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: . Sketch a graph that satisfies the following properties. • limx→2+ f(x) = 4 ● limx→2- f(x) = 3 •…

A: Given query is to find sketch the graph with Indicated properties.

Q: -3 8.5 -0 TH -$ 4 € 7 1 19- 1 M P La

A: From graph, In left side , graph is increasing.    Maximum value of f is is infinity.

Q: Find the second derivative for the functions; y = lnx + cosx  &  y = 4x5 + 3ex.

A:

Q: dy dx dy dx Find for the function y = x .-10 cos(x) 0

A:

Q: antiderivative  F(x)   with  F′(x)=f(x)=3+21x^2+14x^6   and  F(1)=0  .

A: Given query is to find antiderivative.

Q: -5 -4 -3 -2 -1 5- 4 3 2 1 -2 -3 * 2 3 4 5 Use the graph of f(x) above to estimate the value of f'(0)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. An object moves along the horizontal s-axis. Its position relative to the origin at time t > 0…

A:

Q: Consider the following curve. y = 2x3/2, Set up an integral that can be used to find the exact…

A:

Q: I ✔ Choose... Continuous Condition 1 is not satisfied Condition 2 is not satisfied Condition 3 is…

A:

Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

A: The differential equation that model the amount of salt in the tank is given by Q'(t)=(rate of…

Q: s is given by h(t) = 49t - 0.83t². Find the average velocity over the given time intervals. 3,3.5]

A: we are asked to find the average velocity

Q: Chris Lynch plans to invest $400 into a money market account. Find the interest rate that is needed…

A: initial amount=$400final amount=$1500time=16 years fprmula for compound quaterly is P=P0(1+r4)4t

Q: Use the Power Rule to compute the derivative. ƒ'(x) = = 28 d dx -x0.2

A:

Q: Suppose the position of an object moving in a straight line is given by s(t)=t² + 5t+3. Find the…

A:

Q: Evaluate the sum. 34 2 (7) + 4/1²) 7j 3 j=2

A:

Q: e If xe5y + y¹ sin(5x) = 4* defines y implicitly as a differentiable function of a the dy Note: Your…

A: Given query is to find derivative.

Q: - f(x) = 2 I I 36 6

A:

Q: hat is the value of c if (1 + c) = 4 and c> 0? n=1 nswer: c =

A: Given query is to find the value of c.

Q: Evaluate 1) the integral. 2 x² +1 x3 + 3x dx

A:

Q: Find the linearization L(x,y) of the function f(x,y) = (x + 3y + 5)² at each point. a. (0,0) b.…

A:

Q: L'Hopital Rule use 9) lim x.cse² √√2x 1-0 sin x² x-x.sin x 10) lim

A:

Q: Find lim h→0 lim h→0 f(3+h)-f(3) h f(3+h)-f(3) h || - if f(x)=x² +2. (Simplify your answer.)

A:

Q: stimate f′(6) where f(x)=x^3−4x^2−20x−5 to within one decimal place by using a small enough…

A: given that f(x)=x3-4x2-20x-5then we have to find value of f'(6)

Q: 1. For the function f(x) = x² + 2, use the limit definition of derivative to find f'(-2).

A: