find the derivative of function

Find the derivative of the function f ( y ) = 9 y + 14 directly from the definition of derivative. => 14 or 9 or 1 9 or - 9 or 0..

Find the derivative of the function f ( x ) = tanh - 1 (8 - x 2 ). => 2 x 2 - 8 or 2 x x 4 + 1 6 x 2 + 6 3 or 2 x - x 4 + 1 6 x 2 - 6 3 or 2 x x 4 - 1 6 x 2 + 6 3 or 2 x 2 + 8..

Find the numerical derivative of the function f ( x ) = | x + 8| at x = - 8 by using NDER on a calculator. => 0 or 1 or π or -1..

Find the numerical derivative of the function f ( x ) = 2 x 2 - 9 at x = - 4 by using NDER on a calculator. => 0 or 16 or 10 or -16..

Find the numerical derivative of the function f ( x ) = 3 cos x at x = π by using NDER on a calculator. => 0 or 3.000 or π or - 3.000..

Derivative of a Function - So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have ..

The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, then the h..

So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we di..

Derivative of Implicit Functions - Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual ..