1. Use the definition of differentiability to find the first derivative of the function f at a point c given below. a. f(x)=√x at CER* b. f(x) = cos x at CER

Use the new derivative shorteut formulas below to calculate the derivatives of the following functions. d. Isin-i e =- Itan-1l = da 1+x2 /1 (a) f(x) = sin-(2²) (b) g(x) = [tan-(V²

Explain the differences between computing the derivatives of functions that are defined implicitly and explicitly. Select each of the following that correctly describes the differences O A. When computing the derivative of an explicitly defined function y = f(x), the result dy / dx depends only on x. When computing the derivative of an implicitly defined function, the result dy / dx depends only on y. O B. When computing the derivative of an explicitly defined function y = f(x), the result dy / dx depends only on x. When computing the derivative of an implicitly defined function, the result dy / dx may depend on both x and y. C. To compute the derivative of an explicitly defined function y = f(x), use the rules of differentiation to differentiate y with respect to x. To compute the derivative of a function defined implicitly by an equation, write the independent variable y as a function of the dependent variable and x, use the chain rule to differentiate each term of the equation with…