For the function f(x) = 29, find ƒ ¯'(x). 2x-9 f(2) = Answer: %3D Subu

Q: Use the fact that e4x = (ex)4 to find d/dx(e4x). Simplify the derivative as much as possible.

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Q: Given the function h(x) = –x² – 6x + 17, determine the average rate of change of the function over…

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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: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

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Q: Find the derivative of the function. f(x) = V 5x + 4

A: Question number 1,Given,          fx=5x+4

Q: For the pair of functions, find the derivative of the composite function  f(t(x))  in terms of one…

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Q: find the constant of variation k y varies directly as x. when x is 16, y is 20

A: Obtain the constant of variation k as follows.

Q: Find f'(x) using derivative rules, f() = V + 2. メジ %3D

A: Given:…

Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

A:

Q: The second derivative , for the function 7y+ 13z 3a2 is O y = 9

A: Given query is to find the second derivative of the function.

Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

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Q: For the function f(X) = ax3 +ba2 +cx, find the second derivative, f"(X). Here a,b and c are…

A: Given Function,F(x) = ax3 + ba2 + cx

Q: 25. y = V r² +1

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Q: Find the derivative and simplify A. y =((x2)/(2 + lnx)) B. f(x) = ln (√((4x + 1)/(5x + 7))

A: We have to find

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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Q: 9(X)=e²=0

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Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A: Given,

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: Find the second derivative of the function F(t) = 5tsin(r³).

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Q: Iff (x,y)=xcosy+ye*,find the second order derivative ô²f_ ô²f_ôf_ ô²f and дхду ôx² 'ôyôx' ôy²

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Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: Given the function h(x) = x² – 8x+8, determine the average rate of change of the function over the…

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Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: Find the derivative of * r= 2t fr - 3F +6

A: Using rules & formulas of derivatives.

Q: _xe. f(x) = (1+e*)

A: Here we have to find the differentiation of given function. The solution is following.

Q: Find the approximate value of second derivative f"(0) with the step h for the following function by…

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Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

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

Q: The derivative of the given function is y = 2(32x)

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Q: V3x – y+ 6a*y? = 9y

A: Given: 3x-y3+6x4y2=9y

Q: g(t) = 8t3 – 4t² + 12t – 3 %3D

A: This question is based on diffrentiation of function.

Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Derivative: f(t)=ett(x)=9x-4f(x)=e9x-4We know,ddx(ex)=ex

Q: If f(x) rate of change of f(x) at x = 3x + 7x + 7, find the instantaneous – 2. - - Answer = %3D

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Q: Find the derivative of the function. 8. g(s) = 9s2 - 8 Vs g'(s) =

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Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: For the pair of functions, find the derivative of the composite function  f(t(x))  in terms of one…

A: Please see the explanation below

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

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Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

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

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Q: For the function y = 5x3- 4x a. Determine the average rate of change between x1 = 3 and x2 = 5.  b.…

A: given function y=fx=5x3-4x

Q: Solve for y in terms of x for the foltowing

A: e(ln2)y=12lne(ln2)y=ln12yln2=-ln2y=-1

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

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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: