Find the slope of tangent line to the graph of f(x) = - 5x² + 7x at (5, f(5)).

Find the derivatives of the following functions using first principle. f(x) = 6

Find the derivatives of the following functions using first principle. f(x) = - 4x + 7

Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?
\(f(x)=|x-1|\)

Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?
\(f(x)=\sqrt{1-x^2}\)

Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?

The graph of f is shown below. State with reasons that x values (the numbers), at which f is not differentiable.

Find the derivatives of the following functions with respect to corresponding independent variables: \(y=\frac{x}{\sin X+\cos X}\)

Differentiate the following: y = cos (a³+x³)

Differentiate the following: y = tan(cos x)