12 x+6x?+3x 4. f(x) = 3x

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: 2 y = 3x2

A: Power rule of derivative is defined as dxndx=nxn-1. Difference rule of derivative is defined as…

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: Find the derivative of h(x)=(−2x−5)6 /(2x−3)3   You should leave your answer in factored form. Do…

A: Calculation:The given function is h(x) = (-2x-5)6 / (2x-3)3.Obtain the derivative of the function…

Q: The derivative of the function y -3x2+4 is: %3D sec x

A: Given that y=-3x2+4secx find the derivative of y

Q: Find all possible functions with the given derivative. y'=-5+7/x^2

A:

Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Apply the rules of derivatives to find the derivative of 4x3 – 2x? h(x) x2 cos x

A: Here the function h(x) is given, we have to find the derivative of the h(x). Before applying rules…

Q: 1+cscx 7. h(x)=- 1-csc x

A:

Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

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Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

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Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: 3, g(æ) = (x? + 1)°(x² + 2)"

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

Q: Jx + 2x f(x)=- 7х — 4х? 8.

A:

Q: Find the derivative of the following: y = (2x + 3) (3 – a²)

A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

Q: Find the derivative of f(x) = (v5x – 2)°. Final answer must have no parentheses.

A:

Q: Find the derivative of h(x)=(−2x+4)7/(3x−5)5   You should leave your answer in factored form. Do not…

A: The first derivative of the function h(x) = (−2x+4)7/(3x−5)5 is calculated as follows.

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

A:

Q: Find the derivative of h(x)=(3x+4)3 / (−3x−2)4 You should leave your answer in factored form. Do not…

A: To find the derivative of the given rational function

Q: Find the x-values where the following do not have derivatives.

A: Given graph:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Find the first derivative: y=(3/2 x2-1/4 x )-2Arcsin(7x)

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Q: Q#2. By definition find derivative of (2x+3)/4.

A:

Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: Find the derivative of the function. x²- f(x) x? 4x + 7 .2.

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Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

A:

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

A:

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

A:

Q: Find the value of x for which the derivative is zero of Y =x +4x - 3x – 5

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Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

A:

Q: Q:5 Find the derivative of f(x) = (5x² -3)(3x - 2) at x 2.

A:

Q: a.) Given f(x) = 2x + 4, what is the value of f'(1)? b.) What is the derivative of f(x) = 4x + 5?

A: a) f(x)=2x+4b) f(x)=4x+5

Q: 5. Using quotient rule, find derivatives for the following functions. 8x +1 y = 2x ? +3 а. 4x? +1 b.…

A:

Q: find derivative of x3 x? 3x3 3x? noe of the above

A: Given,  The expression x3  We have to find the derivative of  x3.

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

A:

Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

A:

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: (c) For y = 2x2 In(4x) – x², find y'.

A:

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x