f (x) = - 4x² - 6x x²+3

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Find the derivative of the algebraic function.

A:

Q: Explain the relationship between a function and the derivative by providing an example.

A:

Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: Find the derivative of the function

A:

Q: Explain in words how to evaluate the derivative of function?

A:

Q: Given f(x) = ex sin(x) Expand the given function until 5 non zero terms to Taylor series at a=0.…

A: A Taylor Series is an expansion of some function into an infinite sum of terms.

Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

A:

Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: Find the derivative of the function

A: The given function is, gx=x2+2x-1ex. The objective is to find the derivative of the function.

Q: 2. y=cot1-2x 3. y=log22x*

A:

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v²…

A:

Q: x² +5x +6 f(x) = x² - 4

A: