Find f'(-2) for the following. 3..2 f(x) = }x²

Q: What is the derivative of x^6

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

Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

A:

Q: Find the higher-order derivative. f"(x) =4/x - f(5)(x) =

A: Just I have used the rule of derivative and then find the required derivative of the given function.…

Q: Find the derivative of x/ex^2.

A:

Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: what is the derivative of y=ex /(x2 + 15) Please show steps

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Q: Find the third derivative if the function. 15. f(x)= 1/x

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Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: Find the derivative of the function:  f(x)=x^2lnx

A: consider the given function:

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: Find the derivative of f(x) = 10/x

A: We can find the derivative as below

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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Q: бх + 5 -, is 10х + 8 The derivative of y =

A:

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: Find the derivative of f(x)= xtan(x)

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Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: find the derivative of the function f(x) = 7(x^3-x)^4

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Q: Find the derivative of the function y = x² cosh²3x

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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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: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: find the derivative of the function f(x)=x^3+2x at -3

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

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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

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Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: Find the derivative of -4 f(x) = 6x° /x +

A: Given function :

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

A:

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

A: To determine the derivative.

Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivative of f( x ) = x^9log5(x+5.5) f'(x)=

A:

Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: Find the derivative of the function. y = x² cosh²3x

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Q: h (x)= 3

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Q: State the second-derivative test for functions of two variables.

A: State the second - derivative test for functions of two variable.

Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)

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…