Identify which of the following functions require chain rule application to obtain their derivatives: a)y=ln(cos(x)) b)y=3x-ln7 c)y=(arcsen(x))(tanx)

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: Find y' if y = (cos(x))ln(x)

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Q: (b) y = e=* + + In(3z + 1) (c) y = (cos z)° + sin(2*) (d) y = #° arcsin(2*)

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Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: Q3: A) Find the derivative for the following functions: 1) y = log(x Sinx) 2) y = tan(x') 3) y = (x…

A: The derivatives of the functions:   3) y=xsinx+2 taking logarithms both sides, log y=log xsinx+2log…

Q: 3. Evaluate the derivatives of the following: i. 2t +3 ii. x' sin x iii. In(3x-4) iv. (2x +5)"

A: i. Quotient Rule:  The Quotient Rule for differentiation is given by, Evaluate the derivative of…

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: use the Chain rule to find derivative: a) y = cot(412 +9) b) y = y = cos (e?) c) d) y = cos(x²) +1…

A: Solve the givens

Q: Find the y'(0) when y = cos (sec²(2x))

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Q: Find the indicated derivative. Leave your answer in structured form. f(w) = wetan(w) f '(w)

A: We can solve this problem using chain rule of differentiation.

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

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Q: 6.) Find the derivative of the following functions a.) f(x)=- 7-3х |t +1 b.) f(x)=. -1 c.) f(x)= ean…

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