s. f(x) = x4. x/15 - 5x02 8 X x4 - 2x

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A:

Q: 6. f(x) = (5x7 + 19x³ + 2x – 12)²200 f'(x) =

A:

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: Find the derivative of the function. h(x) = x² arctan(9x) h'(x) =

A: Here we will find the derivative of the given function by using the product rule,

Q: Find the derivative of the function

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

Q: find the derivative.

A: We know that , if Then, by Second Fundamental theorem of calculus, we have

Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: Find the derivative

A: