(b) Hint: sin(a + b) = sin(a) cos(b) + sin(b) cos(a) f (x) = sin(x) %3|

Q: why the derivative of a constant function like f(x)=3 is always 0

A:

Q: Is the mathematical statement correct. If f(x)=f(-x), then f’(x)=f’(-x). Explain why

A:

Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Write the formula for the derivative of the function. f(x) 12x4 19x3 4 f'(x)

A: The function is given by,

Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

A:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. f(x) =…

A: We find the derivative using the power rule

Q: How can the derivative function definition be applied to this problem?

A:

Q: Let f (x) = x* + x³ + x² + x. It is difficult and extremely ugly to find a formula for f-1(x).…

A: We will use the relation between f and f-1 for this problem.…

Q: How do you find the derivative of f(x) = 5 - |x-5| ?

A:

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

A:

Q: Can you simplify for the f'(x) like the instructions says

A: The derivative is: f'x=5x51x+lnx25x4

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: If f(x) = find f"(x)

A: We first find the first derivative using the quotient rule

Q: 8. Find the derivative of each function: (a) f (x) = (7* + 5x³)5 3 x+3 (b) g(x) = (*) 9х—1,

A: