Here you will learn the differentiation of constant function proof and examples. Let’s begin – Differentiation of Constant The differentiation of constant function is zero. i.e. ddx(c) = 0. Proof : Let f(x) = c, be a constant function. Then, By using first principle, ddx (f(x)) = limh→0 \(f(x + h) […]
Differentiation of Constant – Proof and Examples Read More »
Here you will learn differentiation of cosec inverse x or arccosecx x by using chain rule. Let’s begin – Differentiation of cosec inverse x or cosec−1x : If x ∈ R – [-1, 1] . then the differentiation of cosec−1x with respect to x is −1|x|√x2–1. i.e. ddx cosec−1x
Differentiation of cosec inverse x Read More »
Here you will learn differentiation of sec inverse x or arcsecx x by using chain rule. Let’s begin – Differentiation of sec inverse x or sec−1x : If x ∈ R – [-1, 1] . then the differentiation of sec−1x with respect to x is 1|x|√x2–1. i.e. ddx sec−1x
Differentiation of sec inverse x Read More »
Here you will learn differentiation of cot inverse x or arccotx x by using chain rule. Let’s begin – Differentiation of cot inverse x or cot−1x : The differentiation of cot−1x with respect to x is −11+x2. i.e. ddx cot−1x = −11+x2. Proof using chain rule : Let
Differentiation of cot inverse x Read More »
Here you will learn differentiation of tan inverse x or arctanx x by using chain rule. Let’s begin – Differentiation of tan inverse x or tan−1x : The differentiation of tan−1x with respect to x is 11+x2. i.e. ddx tan−1x = 11+x2. Proof using chain rule : Let
Differentiation of tan inverse x Read More »
Here you will learn differentiation of cos inverse x or arccos x by using chain rule. Let’s begin – Differentiation of cos inverse x or cos−1x : If x ∈ (-1, 1) , then the differentiation of cos−1x with respect to x is −1√1–x2. i.e. ddx cos−1x = \(-1\over \sqrt{1 –
Differentiation of cos inverse x Read More »
Here you will learn differentiation of sin inverse x or arcsin x by using chain rule. Let’s begin – Differentiation of sin inverse x or sin−1x : If x ∈ (-1, 1) , then the differentiation of sin−1x with respect to x is 1√1–x2. i.e. ddx sin−1x = \(1\over \sqrt{1 –
Differentiation of sin inverse x Read More »
Here you will learn differentiation of log x i.e logarithmic function by using first principle and its examples. Let’s begin – Differentiation of log x (Logarithmic Function) with base e and a (1) Differentiation of log x or logex: The differentiation of logex, x > 0 with respect to x is 1x.
Differentiation of Log x (Logarithmic Function) Read More »
Here you will learn differentiation of exponential function by using first principle and its examples. Let’s begin – Differentiation of Exponential Function (1) Differentiation of ex : The differentiation of ex with respect to x is ex. i.e. ddx ex = ex Proof Using first Principle : Let f(x) = ex. Then, f(x +
Differentiation of Exponential Function Read More »
Here you will learn what is the differentiation of cosecx and its proof by using first principle. Let’s begin – Differentiation of cosecx The differentiation of cosecx with respect to x is -cosecx.cotx i.e. ddx (cosecx) = -cosecx.cotx Proof Using First Principle : Let f(x) = cosec x. Then, f(x + h) = cosec(x
Differentiation of cosecx Read More »
