Consider the following two equations. yA f. 1 < g(x). Find the values of x for which f(x)

Q: For the function ƒ(x) = 2* we use the two-point formula to approximate the first derivative of f at…

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

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Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: nd the hundredth derivative of p (x) = (x + x + x')1°(1 + x²)'' (x³ + x° + x'). Justify your answer.

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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: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

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Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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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 the pair of functions, find the derivative of the composite function k(t(x)) in terms of one…

A: Given,            K(t) = 4.4t3 - 8t2 + 5t - 11             t(x)  = ln x              dtdx = ddxln x…

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

A: Given,

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx) is,

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Q: 4. f(t) = " 1-et

A: Given: ft=1-ett

Q: 3. Which of the following functions grow faster than x as x –→∞? Which grow at the same rate as x2?…

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Q: (b) Write the equation of the line tangent to the graph of f(x) at z 1, and graph it below f(x) =…

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Q: 3e* Find the first derivative: f(x) = x (x+1)

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

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Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Write down the solution and Choose the correct answer Q1) The dervative of the function f(x)= x+2…

A: Derivative.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x  ....1

Q: Find the equation of the line tangent to the graph of f (x) = 1+ e-*for a. x = 0 b. x = -1

A: f(x) = 1 + e-x

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

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

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

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Q: What is the anti-derivative of q(x) = 2e+5 3x 3 ? (Do not include the constant C in your answer.)

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Q: please find h'(1) based of given h(x)=f(g(x))

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Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: The derivative of y x²+1 is х2—1 =

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Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: 2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the…

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Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: Given the function f(x) = x° – 4x² + 5x, find the open interval(s) where %3D f is concave down, i.e.…

A: Given the function f(x)=x3-4x2+5x, then we have to find the open interval where the function f is…

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: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: Find the second derivative of the function F(t) = 4tsin(r4).

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Q: y = (1+x)² 2 x² 2

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: Find the first and second derivatives of the given function. f(x) = 8x3 – 5x? + 7 f'(x) = f"(x) %3D

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Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: What is the first derivative with respect to x of the function g(x)= 4/9 * О 4/9 O 4 O 12

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Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

Q: (b) Find the derivative of the function f(r) = ( + 6)1²(4 – 17.")18 X -

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