exponential function derivative

Which of the following exponential functions represents the given graph? => S( t ) = 5(1.1021) t or S( t ) = 6(1.102) t or S( t ) = 4(1.02) t or S( t ) = 7(2.102) t..

Which of the following is the example of an exponential function? => y = 14 · 1 7 x , x is a real number or y = 14 · ( - 1 7 ) x , x is a real number or y = 14 · 1 7 x , x is a real num..

Carboxylic Acids and its Derivatives - Introduction - Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) ..

Conclusion - In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The derivatives..

Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group i..

x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and ..

Let f be a differentiable function on an interval I and let a I. Let f "(a) be continuous at a. Then i) 'a' is a point of local maxima if f '(a) = 0 and f "(a) < 0 ii) 'a' is a point of local minima if f '(a) = 0 and f "(a) > 0 iii) The test fails if f '(a) = 0 and f "(a) = 0. In th..

Choose the exponential function with the initial value as 6, increasing at a rate of 48% per year. => S( t ) = (1.48) t or S( t ) = 6(1.48) t or S( t ) = 6(0.48) t or S( t ) = 6(1.16) t..

Identify the exponential function that contains the point (- 2, - 36). => y = ( 1 6 ) x or y = - ( 1 6 ) x or y = 6( 1 6 ) x or y = - (6) x..

The equation that involves one (or) more derivatives of some unknown functions which are required to be found is called => Non linear equation or Differential equation or Linear equation or Quadratic equation..