x* +e" = y

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: 2. Find the derivative. Simplify where possible. (b) у %3 tanh-1(г3)

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Q: Find the derivative of the function. y = ex5

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Q: Find the derivative of the function.

A: We use the chain rule

Q: x-2 Find the 1st derivative of y= sin x+3

A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

A: We have to find the derivative and slope at given point

Q: Find the derivative of the function. y = 2 cot(5θ)

A: Consider the given function:

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

Q: se implicit differentiation to find an equation of the tangent line to the graph of f at the given…

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Q: X^3 +y^3=2xy find the derivative using implicit differentiation

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Q: 10. g(x) = e*´ arcsin x

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: Find y" (the second derivative) of y= xsin x

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Q: Using Leibniz find the third derivative of the following function y = e2a Inx

A: The Leibniz formula expresses the derivative on nth order of the product of two functions. Suppose…

Q: Find the derivative. y=16√x   *The 16th root of x

A: Given,

Q: Find the derivative of the function y = 5 sec- (x + 7). (Use symbolic notation and fractions where…

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Q: Find the derivative. y= 7/ex+e-x y'=

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Q: 5. Find the 25" derivative of y= In x. 6. Find the 100 derivative of y=e".

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Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

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Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: y = esin 2x + sin(e2*) = esin

A: For the detailed solution follow the next step.

Q: Using first principles (by definition), prove that the derivative of a constant is 0.

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Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

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Q: Evaluate the derivative of the function at the given point. 1 y = t= - 2 t+7' y' = (Type an integer…

A: The given function is, y=1t+7=t+7-1 The derivative of xn is nxn-1.

Q: 4. y=Dx

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Q: (a) Use logarithmic differentiation to find the derivative of the function. y (In x)seca (b) Find an…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

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Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: 1) tan x Find the derivative of y= = e

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Q: 1. a) Find the derivative of the function y = sinx + cosx. %3D b) What is the value of the…

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Q: 1. y=ex-4) (exponent of (x-4) is 2) %3D

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: a) Find the derivative of the function y = sinx + cosx. b) What is the value of the derivative at x…

A: For (a), Here, we need to find the derivative of the function y=sin x+cos x. So,…

Q: Find the derivative of the function. y = x + 5 y' = Your answer cannot be unde

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Q: Find the derivative of the function y 9 sec- (x + 4). %3D (Use symbolic notation and fractions where…

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Q: 5. Une differentiation rules to find the derivatives and simplify: 5.1 y - +1

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Q: Find the derivative of the function y = 4 sec' (x + 6). (Use symbolic notation and fractions where…

A: We will find the derivative of the given function.Below find the solution in the image.

Q: y==sin(x} sin(x)} 29. Find the derivative of the function: 2

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Q: Ise logarithmic differentiation to find the derivative of the function. y = x4 cos(x)

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

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

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Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

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Q: Find the third derivative. y = 6/x

A: y=6x Will use the power formula for derivative ddx(xn)=nxn-1 Here, the function can be written as:…

Q: Find the derivative of the function. y = ev Paragraph

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Q: Find the first derivative of f(x)

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Q: What is the defintion of a derivative? Usng the definition of a derivative at a given point, find…

A: Definition of Derivative:The derivative of a function of a real variable measures the…