Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use symbolic notation and fractions where needed.) f'(-4) = Find an equation of the tangent line to the graph of f at t = -4. (Use symbolic notation and fractions where needed. Let y = f(t). Express equation in terms of variables y and t.)

Q: 3.) y = log2 – 6·x³

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

Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

Q: Find the derivative of the algebraic function.

A:

Q: Find the derivative of the function

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: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: b) H(x) = (3 sin x + 5 cos x) e²

A: Given query is to find the derivative of the function.

Q: F(x) = X2

A: Consider the function: fx=x2 The derivative of f(x) with respect to x is the function f′(x) and is…

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: F(x) = X

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

Q: x² +5x +6 f(x) = x² - 4

A: