f(x)= x² sin x

Q: 2u? g(u) (u? + u)

A: Using simplification & quotient rule of derivatives.

Q: Derivative of (x-4)2. An over simplified solution would be helpful.

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Q: Find the derivative of the function by using the product rule. Do not find the product before…

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Q: the second derivative y=x^3-square root of x how to solve step by

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Q: Determine the derivative of the following implicit functions Show your complete and detailed…

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Q: find the derivative 1).f(x)=X^3(X^4/3-1)…

A: 1)

Q: How do you find the derivative of the sum of two functions, f + g? Choose from the following:

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Q: Find the derivative of x^2 =16^x

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Q: give 2 basic derivatives examples of quotient rule with solution

A: Quotient rule of differentiation states that: ddxuv=vdudx-udvdxv2 or ddfxgx=gxf'x-fxg'xgx2 Example…

Q: f(x) = 3xcos(x) %3D

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Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: How to solve this equation using implicit differentiation? 2(x2+y2)^2=25(x2-y2)

A: Given,

Q: y = -4e sin x %3D

A: We have  y=-4esinx

Q: 3. y = In ((x+2), (х-1)2

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: find the derivatives of the following functions with respect to x and simplify the result.

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Q: y x sin x +x cosx

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Q: Briefly explain what is mathematical induction. Then present a differentiation or integration…

A: Mathematical induction is a method of proof for the statement in which if the statement p(n) is true…

Q: Your questions is to find the first and second derivatives in the given functions SHOW ALL OF YOUR…

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Q: f(x) = -x² +2{x?

A: Given,

Q: show your complete solution Find the first, second and third derivative of y = 5 cos(x) + (x + 5)-2…

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Q: Find the derivative of the function. 6x3 + 8x2 f(x) = Step 1 The function f(x) can be simplified to…

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Given:…

Q: x +27 f(x)%3= x+3

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Q: エ+2= 3y

A: Topic:- derivatives

Q: ) Find the y’’ (second derivative) of the following in its simplified form. Do not skip the steps…

A: This is a problem of differentiation of the function. Based on the general formula we will solve the…

Q: explain why derivatives are useful and what they can be used for. You should touch upon at least 3…

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Q: 32 f(x) = x + .2 x

A: The given function is  f(x) = x + 32/x2 We know that (d/dx) xn = n. xn-1

Q: 2x 2 t 7 dt

A: Given

Q: How do you find the derivative of the sum of two functions, f+ g? Choose the correct answer below. O…

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Q: ne following tion. F(x) = V (x – 3)² e a sign diagram for the first derivative. Select-- v…

A: we have,  f(x)=(x-3)23

Q: ind the second derivative and simplify the final result 6. ln(x^3 y^2) = x^2 + y^

A: To find the second derivative of the below equation. lnx3y2=x2+y3

Q: x² - 4x Find the slope of the tangent to the curve of f(x)=- at x = 0. 3- cos x

A: We know that the slop of a function is the derivative of that

Q: Write the equation of the tangent line to the graph of the function y = 3cosxsinx Leave equation in…

A: y = 3cosxsinx The derivative of any function represents the slope of the tangent line of that…

Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

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Q: Find the derivative. f (x) = 3x²e* 2 x

A: Given function is as below :

Q: Find the 58th derivative of the function f(x)=cos(x). The answer is

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Q: -x csc x 4. y =

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Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: Find the derivative of f(x) = 2Vx + v2x

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Q: f(x)= ln( 7x^2/ x^2 +19)^4 find the derivative. Can you explain to me how I can find the derivative…

A: Derivative of a function

Q: Find the first and second derivatives of the function. f(x) = x/8x+5       f ''(x)  =

A: fx = x8x + 5f'x = ddxx × 8x + 5 - ddx8x + 5 ×x8x + 52Used quotient rule ddxf(x)g(x) = g(x)×dfx -…

Q: f(x) = Vx-3 6. x-9

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Q: 55. х" +х" - 2х %3D0.

A: After solving the auxiliary equation, we find the general solution of the given homogeneous…

Q: Need to find derivative of y.  y=cos^3 (csc(-5x

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Q: Find the derivative of y=ln(tan-1(x)). If possible please explain the steps

A: From the given problem:   y=ln(tan-1(x))   So,   dydx=ddxlntan-1x...1   As we know that the…

Q: How do I solve this? Right now in math class we are learning about derivatives, product rule,…

A: Given, Y = -3x2 +2x36x3 +1  We have to find the derivative of Y

Q: Calculate the derivative. x* - 4 y = x2 - 5 (Give an exact answer. Use symbolic notation and…

A: Given: y=x4-4x2-5

Q: ソ=x'(25-435)

A: Given that y=x52x3-4x7 find out the differentiation

Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative