The derivative of p(t) = e'n(t)+4t² is given by which of the following? Op' (t) =D 글 + 8t Op'(t) = cn(t)+4ť² Op'(t) = eln(t)+4ť ( + 8t) Op'(t) = e( +8t)

Q: Find g'(6) given that f(6) = -3, f'(6) = 4, and g(x)= g'(6) = 9x + 8 f(x) - (Round your answer to…

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Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: (3) The derivative of y = In √√x is (A) y' = √³ 2 (B) y' == / 1 (C) y' = 2√/x (D) y' = = 1/2 2x (E)…

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use the common…

Q: Find g'(6) given that f(6)= -9, f'(6) = 2, and g(x) = g'(6) = 7x + 4 f(x) (Round your answer to four…

A: Given query is to find the Indicated derivative.

Q: 2 5. x=- 1+t2 2 y=, t(1+t?)

A: Given: x=21+t2, y=2t(1+t2).

Q: (e) If A(t) = 500 - (1.02)0.1+, find A'(t).

A: (e) The given function is At=500·1.020.1t.

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: If g(x) = In(6x6 - 2), then the derivative of g'(x) is 676 36z5 1 6x5 626 36x5 1. 3675 1 6x6 O O

A: We will use simple differentiation rules to solve this question.

Q: How to solve the derivative of this

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Q: Find the derivative of f(x) = (8x — 9) ƒ'(x) = 10 Simplify as much as possible.

A: f(x)=(8x-9)-107

Q: and f'(-2) = -4 and f(-2) = 4. Hint: start with integrating the second derivative function, and use…

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Q: Find the derivative of the function y = A y' = 1 7x³ 2 V' = 773 y' + 1 1 + 7x² 13x 1 13x² 1 +…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

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Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: derivative for this function

A: The given question is taken from the calculus in which we have to find the derivative of the given…

Q: Find the derivative of the function G(x) ) = ½ x² + 7x² − x² + 5.7x + √/3. Answer G'(x) =

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.