In Exercises 33–46, find the derivative. y = csc-'(x-1)

Q: A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of…

A: Given data:     The given expression for the function is: y=2x+1. The given point is: (x1,y1)=(7,3).…

Q: use implicit differentiation to calculate higher derivatives.

A: Consider the equation Let us find the second derivative implicitly.

Q: Define the term derivative of a function at a point?

A: The derivative of a function f(x) is the rate of change of f(x) with respect to x. The derivative…

Q: Differentiate the functions. Find the derivative of y with respect to x. Use the given relation…

A: Given : Function y = x3 + 12   To find : Derivative of the given function dydx?

Q: Using the Chain Rule, compute the first derivative of sin T-x.

A: We have given a composite function and we have to find derivative of function by using chain rule of…

Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: 5. Find the second derivative of * sin- (æ?)

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Q: What are the the mean value theorem in application of derivatives?

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Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: In Exercises 39-42, calculate the higher derivative.

A: Consider the following equation: y=tanx                                 ...... 1

Q: In Exercises 33–46, find the derivative.

A: According to the question, we have to differentiate the expression y=sin-17x with respect to x. The…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: Given that y=z+1z-1=z+1z-112

Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: y =

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given function is fx=1x+4. Compute the first derivative. f'x=1x+4'=-12x+432

Q: Finding a Derivative In Exercises 5–26, finddydx by implicit differentiation. 5. x2 + y2 = 9

A: Implicit differentiation:       Implicit differentiation is the procedure of differentiating an…

Q: In Exercises 39-42, calculate the higher derivative.

A: The given function is y=etsin t. Obtain the derivatives as follows.

Q: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

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Q: Calculate the derivative 21 using Part 2 of the Fundamental Theorem of Calculus. 21

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Q: How do you use implicit differentiation to solve:  tanxy=x+y   at point (0,0)

A: The given expression is,

Q: Determine the second derivative of the function y=arcsinx2−1x2+1.

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Q: sec- 1 2. у %3D| tan

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Q: How do you use Implicit differentiation find x^2+2xy−y^2+x=2 and to find an equation of the tangent…

A: The given equation is, x2+2xy-y2+x=2. Differentiate the given function with respect to x.…

Q: Using the chain rule, derive the formula for the derivative of the inverse sine function.

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Q: the equation of the line tangent to the curve y ^ 2 * ln(x) + x ^ 2 * y = 3 at the point (1, 3) .…

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Q: Illustrate the Derivative of Cosecant Function ?

A: Illustrate the Derivative of the Cosecant Function?

Q: tan x Find the derivative of x y = y

A: Since you have asked multiple questions in a single request,we would be answering only the first…

Q: calculate the first four derivatives of xe^(-x)

A: Here, we use product rule of differentiation which states that (uv)'=uv'+u'v, to get the derivative.

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: Consider the given function as y=cos3x+3cosx+79

Q: What is the derivative of: y = x√arcsin x

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