Differentiate the following function. 3 f(x) = 9 e 9 e dx %3D

Q: Differentiate the following function. y = 5 ex – 2x dx II

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Q: Differentiate the following function.   y =ln (x2 + 1) / (2x + 3)

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Q: Use the table to the right to find the given derivative. d [f(x)g(x) dx X. x35 d [f(x)g(x) (Simplify…

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Q: B)ls w = Ze² analytical function or not?

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Q: Which of the following functions grow faster than In x as x→ oo? Which grow at the same rate as In…

A: fx=lnx c. gx=1x Now, limx→∞gxfx=limx→∞1xlnx=limx→∞1x lnx=0 Hence fx=lnx and gx=1x grows at same…

Q: Find the indicated derivative. 32 df If f(x) =F + 12 x, find dx x = 4 df dx x = 4

A: Topic:- Derivatives

Q: Differentiate the following function.   y = ln(9x)

A: Consider the following function:      y=ln(9x) Find the derivative of the tunction.

Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: For which function is the instantaneous rate of change closest to 5 at x = 2? Ax) = x g(x) = x² + 1…

A: Consider the given information: To find the instantaneous rate of change closest to 5 at x=2.

Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Consider the following function and express the relationship between a small change in x and the…

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Q: Differentiate the following function.   y = ln (1/e1x)

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Q: Find the derivative of the function. s2 + 1 s² + 4 f(s) =

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Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

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Q: I the second derivative of the function F(t) = 7tsin(º). ver F"(1) =

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Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios and…

Q: Find the derivative of y=log e. O a. -1 O b. 0 C. 1 O d. 2.72

A: Let us first simplify the given function and then take derivative y=logex

Q: The derivative dy for the function y=($ +5> 515

A: Here we will use power rule to differentiate

Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: Find the derivative of the function. F(e) = (9t + 14)2/3 f (e) =

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. h(t) = (t4 – 1)°(t3 + 1)8 h'(t) =

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Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: Q4: Find integration for the following functions: - a- S 3ln²x dx

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Q: Solve for the derivative of the following function: v=1/t^3

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Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx…

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Q: 8. Order the following functions from slowest growing to fastest growing as x→∞. a. 2* c. (In2)* b.…

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Q: Find the derivative of the function. h(t) = (t4 – 1)°(t + 1)8

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Q: S Зх-7 dx 10х2+3x+11

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Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: Differentiate the following function.   y = ln(x6 + 3x4 + 1)

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

Q: Find the second derivative of the function.

A: The given function: g(t)=-8t3-5t+12

Q: Differentiate the following function.   y = x/ln x

A: Consider a function y is defined as, y=fxgx The derivative of the function is defined as,…

Q: Consider

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Q: Differentiate the following equation.  f(x)= (ln x)3 ex

A: Given:- f(x) = (ln(x))3 ex  To find :- Differentiate the given function f(x)

Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: y = ln (xm=)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the first and second derivatives of the function. L(t) = 1+2.le 16 3.9t

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Q: Find the derivative of the function. f(t) = t3/2 loge(vt+3)

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Q: 32. Differentiate the following function with respect to y. e + 3º = 1

A: This is a simple differentiation problem

Q: If you want to model the percentage figures with a function of the form f(t) = at2 + bt + c would…

A: As shown data in the book we see that the parabola is downward so :

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: Q7/ find the derivative (, df. 1 f(x) = + 5 e* x4/3

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Q: 2. Which of the following functions grow faster than e as x–→∞? Which grow at the same rate as e"?…

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Q: Find the derivative of the function.        g(s) = 6/(s3 − 2)3

A: The given function is gs=6s3-23.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: