OLVE THE FOLLOWING: What is the derivative of.6x* – 7x3 + 5x² ? What is f'(x) if (x) = (2x² + 1)(x² – x) ? %3D Applying the quotient rule, what is h'(x) if h(x) = x2 Given by f(x) = x3 +x? and g(x) = 2Vx ,what is f'(x) – g'(x) ?

Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

A:

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: 2x+1 -2 x3 - 5x Which of the following is the derivative of f(x)= (x3 -5x)(2)- (2x+1)(3x² - 5) (x² -…

A:

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

A:

Q: In(3æ) Given f(x) the derivative f'(x) is 3 3 1 3x 1 3 1 3x

A:

Q: Kindly write in good solution and good penmanship

A: Given, To check which option has derivative h'(x)=-6x(2x3+x+2)(x3-2)3

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: x + Va x2 1. Find the derivative of the function f(x) = in two different ways. Once with the…

A: 1 Given function,                  f(x) = x+xx2Differentiate f(x) with respect to x, using quotient…

Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

A:

Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the derivative of g(x) = 4x 1+4* •

A:

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex