Question 15 dx For /- (x+x³) (xtan-'(x)+1) = In(F(x)) +C. What is F (/3) if C=0? (A) B + - +

Q: Find (f^-1)’(0) if f(x)=x+sin(2x)

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Q: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

A: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: If f(x) = 10x^2-37x+11, then there are two real numbers a<b such that f(a)=f(b)=4, and there is a…

A: The objective is to solve .

Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: -7 Let f(x) 7xVI + f'(x)

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Q: Suppose the function f is updated from f(x)=x^3 to f(x)=−3.5x^3. How does changing the coefficient…

A: There are two big changes you introduced to the function when you change the coefficient from 1 to…

Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

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Q: Let x +1 f(x) = x + 9

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Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: If 21+3f(x)+2x^2(f(x))^3=0 and f(-3)=-1 what is f'(-3)?

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Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: Let f(x)= (7x-5)^4                (5x+2)^5 find f' (x)  Please answer ASAP and write neatly thank…

A:

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b &gt; 0, n+ab=Θnb

Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

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Q: tim ax3+5 ( 1+てX (ソx) Xーローや

A:

Q: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

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Q: f(x) = 5x^3/sin(2x-9) what is f(18)?

A: We have to find the function value

Q: Find dim(Q(a)), where

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Q: why is it f'(x)=(x^2+5)(1)-x(2x)/(x^2+5)^2  where did the (1) and 2x come from in the numerator?…

A: We have to explain the first order differentiation of the given function

Q: If f(x) = 5 + 5x - 4x², find f'(0).

A: The Sum/Difference Rule: f±g'=f'±g' The Power Rule: ddxxn=nxn-1

Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

Q: Find f'(x) and simplify. f(x) = 5x5 Inx Which of the following shows the correct application of the…

A: Given: fx=5x5 lnxTo find: The derivative of fx using the product rule.

Q: f(x)=sqrt(x+1) find f(t^2-1)

A: We have to find the function

Q: Let  f(x)=x+4/x+10 f^-1 (-7)=?

A: Given: fx=x+4x+10 To determine: f-1-7

Q: if f(X)=(1-2X)^5 then find f`(X)

A:

Q: Let f(x)=3x+1/9x+3 Find f^−1(x) (inverse)

A: Inverse of f is calculated by replacing X and y by each other and finding x in terms of y.

Q: Evaluate II| 6x(x2 + y2) dv, where E is the solid in the first octant that lies beneath the…

A: Since the integral lies in first octant so 0≤θ≤π/2 and z≥0.  Converting into cylindrical coordinates…

Q: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

A: Topic = Derivative