Q3: Derivative and put in simple formula: [1] x - y = 0

Q: Find the derivative of y=xtan^(-1)(4x) I don't understand the part as to how 16x^2+1 gets in the…

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Q: 1-x e) f(x) = 1+x

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Q: In the following, find the first derivative: 13. y (3-x)(x -x + 1) 14. y = (x - 1)(x %3D

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Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 2)({Vx - 2Vx + 3) y' =

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Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: Find derivative of y=2e^.6t

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Q: Q1: Use the definition of derivative to find the derivative of x2 + x.

A: In this question we have to find the derivative using the definition of the derivative.

Q: 25. y = V r² +1

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Q: What is the Derivative of the function; y=tan\sqrt{x2-1}

A: Given function is y=tanx2-1. To find the derivative of the function. Solution: Chain rule of…

Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Evaluate the second derivative of  the image if a = 380 and b = 0.4 at x = 5 using BDA  with Δx…

A: The finite difference formulae can be used to calculate the derivatives of the functions. The…

Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below:…

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Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: Find the derivative. y = arccoth x² + 8 y' =

A: We use the chain rule

Q: Q2. Use the definition of the derivative to find ý of the function y = sin(x). %3D

A: Here given function is  y = sin(x)

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: 3, g(æ) = (x? + 1)°(x² + 2)"

A: Explanation and solutions is given below....

Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative…

Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: State the derivative. Do not simplify. f(x) = e² - 22

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Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Q8.) By using the definition of the derivative, find the equation of the tangent line to the graph…

A: Please see the answer in Step 2

Q: Finally, we factor out the y' and divide, to conclude that the derivative is y'

A: Since it is already solved till part 4 of 5 Therefore, part 5 of 5…

Q: Q1) Find the derivative of the following: x2 +3 y = 7 (x – 1)3 + (x + 1)3

A: I have simplified first then differentiate

Q: Find the derivative of y=9e^(−0.9t)

A: We have to differentiate f(t) ,where f (t)  is given by

Q: Evaluate the following and determine the second derivative Find y' if x2+ 4x + y = 0

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Q: Q15: Find the derivative: f(x) = (In x)?

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Q: Q3: Using the definition of the derivative to find the derivative of the function y =

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Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: Find the derivative of the following functions: y= 7e^x - x4?

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Q: Find the derivative of the function g(x) 2 sech 8x.

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Q: Find the derivative of ( Ⓒ) (05'(x)

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Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

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Q: Use the appropriate Derivative Formula for the algebraic function below. x2+1 2. y = x2-1

A: y=x2+1x2-1In this we use quotient rule QUOTIENT RULEy=uvdydx=v.dudx-udvdxv2apply this rule in given…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (х) - х2…

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Q: For the implicitly-defined function, calculate the derivative with respect to x. + y74 = -6y ,3/4

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Q: 21) y=e

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Q: 3.) Y + y = x" ן1

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Q: Find the nth order derivative of the function y=32x+1.

A: We use the chain rule to find the first 4 derivatives.

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 8)(Vx - 2x + 3

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Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

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 the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: Find the derivative, but do not simplify your answer. y- (x² + x + o)(Vx = 2/x 1) y' =

A: Given that, y=x2+x+6x3-2x+1

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.