) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is S fG)g'(x) dx =2 20 is 10 f(x) 5. 9 12 9. calculate the following g CaJdx is f'(4) 2) (g'(3)+2) dx= 3)|5f'C^) sin (fc(a) dx=

Q: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

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Q: the

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Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: f(x)=(6+x^3)^cos x Explain with steps

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Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: /3 store the functian fCx) = (2.7x³-37+5) in your graphing utility. Usethe numeric differentiation…

A: Given: fx=2.7x3-3x+523 To Find: i. f'0 and f'4.3ii. Graph fxiii. Number of Horizontal Tangents

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: d dx f(x)=sina, f(0) = 7.

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Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

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Q: Find the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x +…

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Q: Find y' if 7 y² + sin (3x) = 12-y f

A: Here we can find the y' in the below steps, using implicit differentiation.

Q: Find the derivative with respect to x the function √√2-3x² A. B. C. D.. -2x² √2-3x² -3x √2-3x² -3x²…

A: 1) The given function is sqrt(2-3x2) 2) y=arc sin cosx

Q: 6. Let g be the function with first derivative g'(x) = sin x + √x² + 1 for x > 0. If g(10) = 2, what…

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Q: 3. Let f (x) = (3x2 + 1)?. Find f'(x)in 3 different ways by following the instructions below in…

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Q: The following is a table of values of the functions f, g, f' et g': a) If h(a) b) If H(z) a) h'(2) =…

A: Given data, a) hx=fgx b) Hx=gfx

Q: For any function f with continuous derivative f', are the following statements true of false? For a…

A: We have to check the given integration is true or not.

Q: Consider the following table x f(x) g(x) f'(x) g'(x) 02 5 0 2 11 -2 3 0 24 4 1 -1 33 -3 2 3 03 What…

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Q: 3. Consider the function f(x) = rl – 5x3. 10x + 10 (a) Show that the second derivative is f"(x) (b)…

A: Consider the given function, fx=x53-5x23 (a) Find the derivative of the function,…

Q: Find f'(-2) for f(x) x² +1

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