Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: 3x-x Tan 1-3x? х-х

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Q: Find the derivative. y= In x+3 %3D

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: Find the derivative of the function. y = In(x8)

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Q: By the chain rule, the derivative of arctan (4x^5) is:

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: On which derivative rule is the Substitution Rule based?

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

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Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: FInd the derivatives of the function f(x) from the first pribnciple  cos2x

A: Derivative from first principal is ratio of change in y to the very small chance in x.

Q: 2. f(x) = x2– 5x + 6 at x 2 --

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Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: メ-しリ ニ X² ty2

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Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

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: Find the derivative of flx) = x 1x \ - Does plo) exist

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Q: what is the first derivative of cosx^2(x^2+2)

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Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: Find the derivative using the long method 3-t to

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Q: Find the derivative of the function.   y = In(x)/x9

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Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

Q: Find the derivative of: – 7 sin (2x°). - Hint: sin? (æ) = [sin(x)]"...so ...so use the chain rule…

A: Solving by chain rule

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

Q: the derivative of f(x) = xi at the point x = 4?

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Q: By using first principle, show that the derivative of f(x)=- is x+1 1 S'(x) = (x+1)

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Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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Q: Find the derivative of ?(?) = −7 cos(4?). using the chain rule

A: We have to find the derivative of given function using chain rule in differentiation.

Q: Using appropriate rule, find the 9z+3. derivative of y= 345z+9

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Q: Find the derivative of nin (cosu). Where n=540

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Q: function

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Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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