3. f(x) = (tanh(sin-1 x))2*

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: cos r (sin x) os . Hint: logarithmic differentiation can Find the derivative of y help.

A: We have to find the derivative of given function.

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

A:

Q: 2. Find the derivative. Simplify where possible. (b) у %3 tanh-1(г3)

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Q: MJM) Using logarithmic differentiation find the gradient of the tangent to the curve represented by…

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Q: (x+3)² (x+2)°(x+4)' Use logarithmic differentiation to find the derivative of y =

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Q: Find the derivative of the following function. f(x)=ln(e2x+3) evaluated at X=ln 4 The value of…

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Q: 3. Using the rules for differentiation, find the indicated derivatives: (a) f(x) if f(x) = (xª – 2x)…

A:

Q: (c) f(x) = x

A: take log on both side and using the property.

Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

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Q: 100 The derivative of the function 1 is equal to ecos z

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Q: Consider the derivative function 8³ –4/E k (x) = 3 sin æ + What is the general antiderivative of k?…

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Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&(x? + 1)" Your…

A: We have to find derivative

Q: x* (x – 1)? (x + 2) (x² + 1)* Calculate the derivative by logarithmic differentiation: g(x)

A:

Q: 6. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) g(x)= In…

A: Please refer the attached image for complete solution.

Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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Q: e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: cos (z) V32 + 7 (3x+ 1)52x + 5 7. Use logarithmic differentiation to find the derivative of f(x) =…

A: In logarithmic differentiation   first we take logarithm on both sides of the given function and…

Q: 3. Use logarithmic differentiation to find the derivative of y = x"". (Your answer should be…

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Q: Find the derivative of the function. h(x) = log2(x2 + x)

A: Given function is : hx=log2x2+x To find the differentiation of a given function.

Q: ) Find the derivative of y for all functions the following (2) y = 3 log3(log, t), %3D

A: We have given function y=3log8log2t Then, dydt=ddt3log8log2t=3ln8log2t1ln2t=3ln8ln2tlog2t

Q: Use logarithmic differentiation to find the derivative of y with respect to 0. e+3 y = O cos e Find…

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Q: derive the derivative formula for log a(x) with a>0 and a≠1.

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Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: Using logarithmic differentiation, find a y' for (x + 2)* sin(x) y = x2(x – 3)2

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Q: cos (x) V3x² + 7 (3x + 1)5 /2x + 5 7. Use logarithmic differentiation to find the derivative of f(x)…

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Q: 12. Find the second derivative f"(x) of f(x) = 4xe* 13. Use Logarithmic Differentiation to find the…

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Q: x²+x+4 What is the first derivative of r(x) = log, x°cos x

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Q: 6) Find the derivative of the following functions 6.1) a(x) = x²(sin x)(cot x)e" 6.2) b(x) = ()-4

A: To find the derivative of the following functionsFormula:ddx(sin x)=cos xddx(cot x)=-csc2…

Q: Find the derivative of the function. g(x) = 800(3 − e−0.1x)

A: g(x) = 800(3 − e−0.1x)

Q: Find the derivative of the function. Simplify where possible. h(t )   = Cot-1(t)+Cot-1(1/t)

A: we have to find the derivative of the function h(t)=cot-1t+cot-11t

Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: Vx+2 Use logarithmic differentiation to find the derivative of the function. f(x)=- e (3x-1) i ora…

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Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e…

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Q: 5. Use logarithmic differentiation to find the derivative of the function. (x²+1)6 tan² x y = X3

A: Explanation of the answer is as follows

Q: 1. f(x) )=(x? +3)2* 2-75 +2r-6 2. f(x) = e-2-s 3. f(x) = xe* In(x)

A: We will use (uv)' = uv'+u'v (uvw)' = u'vw+uv'w+uvw' and (f(g(x)))' = f'(g(x)) g'(x)   (1) f(x) =…

Q: b) Given f (x)= In x x>0. Use differentiation to find the value of f'(x) at x= 2. Give your answer…

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Q: s(x)=(f(x))^3x what is the derivative of s at -1 g(x)= f(ln x) what is the derivative of g at e^2

A: Given The equations is  s(x)=f(x)3x   and  g(x)=f(ln x)

Q: 6. Find the derivative of the following function. You may want to use logarithmic differentiation.…

A: Explanation of the answer is as follows

Q: Find the derivative of the function. f(x) = In(x + 1) rw) - f'(x) = Find the derivative of the…

A: we have to find the derivative of the following

Q: 3. Use logarithmic differentiation to find the derivative of y = x". (Your answer should be…

A: To differentiate the below equation using logarithmic differentiation. y=xx2

Q: The derivative of hyperbolic for cosh x= e- e /2 True O Flase

A: Given: coshx=ex−ex2

Q: Find the derivative of f (w) = 6 ln (w) + 15. Enclose arguments of functions, numerators, and…

A: f(w) = 6ln(w) + 15  Differentiating both sides w.r.t x, we get,

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: 100 1 The derivative of the function is equal ecos x to

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

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Q: Approximate the first derivative of the following functions using a) forward difference, b) backward…

A: Let's find.

Q: 5. Use logarithmic differentiation to find y' for y = (V)5*, Simplify as much as possible.

A: Giveny=(x)5x To find y'