If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: Find the derivative of y = elanx

A: Given:- y = etanx To find:- Derivative of y

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: How do you find the derivative of y = xlnx-x

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Q: Find second derivative of f(x) = 7x-15

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Q: In(x²) What is the derivative of

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Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: X-3

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Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

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Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: What is the second derivative of: -(4-x^2)^1/2

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Q: Find second derivative of f(x) = (4/x) +6x-5

A: We have to find second derivative of  f(x) = (4/x) + 6x - 5 Then ,  First derivative of f(x) is…

Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Determine the derivative of 6x log3(x)

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Q: How can the derivative function definition be applied to this problem?

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Q: Find the derivative of function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: What is the second derivative of f(x)=x^2lnx

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Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

Q: Find the derivative of y = arctan² (x³)

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

Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: Estimate the derivative of the function f (x) = - 3 at the point x = 3. 5 5

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Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the second derivative of f(x)=x^-2 when x=4

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Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: Find the derivative of the function without using the Quotient Rule. y = -

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Q: If y=Inx-x, then second derivative (y ) is-

A: The given function is y=lnx-x4. Evaluate the derivative of the function as follows.…

Q: In(x-

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Q: What is the derivative of y = etan-1 2x 2

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Q: us to find the derivative of x) = Vt3 + 27dt -3

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Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following

Q: h (x)= 3

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Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

A: