The differentiation of 1/x with respect to x is equal to -1/x2. In this post, we will learn how to differentiate 1 by x. Derivative of 1/x by Power Rule Question: What is the Derivative of 1/x? Answer: The derivative of 1/x with respect to x is -1/x2. Solution: By the power rule, the derivative … Read more
The differentiation of e^tan^-1x is equal to 1/(1+x2) e^{tan-1x}. In this post, we will learn how to differentiate e to power tan inverse x with respect to x. We will now find the derivative of e^{tan-1x} with respect to x. Find the derivative of e^{tan-1x} Question: How to differentiate e^{tan-1x}? Solution: We will follow the … Read more
The differentiation of e^cos^-1x is equal to -1/√(1-x2) e^{cos-1x}. In this post, we will learn how to differentiate e to power cos inverse x with respect to x. We will now find the derivative of e^{cos-1x} with respect to x. Find the derivative of e^{cos-1x} Question: How to differentiate e^{cos-1x}? Solution: Let y= $e^{\cos^{-1}x}$ Taking … Read more
The differentiation of e to the sin-1x is equal to 1/√(1-x2) e^{sin-1x}. In this post, we will learn how to differentiate e to power sin inverse x with respect to x. Let us find the derivative of e^{sin-1x} with respect to x. Find the derivative of e^{sin-1x} Question: How to differentiate e^{sin-1x}? Solution: Let y= … Read more
The differentiation of e^cotx is equal to -cosec2x ecotx. In this post, we will learn how to differentiate e to the power cotx with respect to x. The following two formulas will be used to find the derivative of ecotx. Now, we will learn to find the derivative of e to the power cotx with … Read more
The differentiation of e^tanx is equal to sec2x etanx. In this post, we will learn how to differentiate e to the power tanx with respect to x. The following two formulas will be used to find the derivative of etanx. Now, we will learn to find the derivative of e to the power tanx with … Read more
The differentiation of e^cosx is equal to -sinx ecosx. In this post, we will learn how to differentiate e^cosx with respect to x. Let us find the derivative of ecosx with respect to x. Find the derivative of ecosx Question: How to differentiate ecosx? Solution: Let y= ecosx Taking natural logarithms on both sides, we … Read more
The differentiation of e^sinx is equal to cosx esinx. In this post, we will learn how to differentiate e^sinx with respect to x. Let us find the derivative of esinx with respect to x. Find the derivative of esinx Question: How to differentiate esinx? Solution: Let y= esinx Taking natural logarithms i.e. loge both sides, … Read more
The derivative of arc(cotx) is equal to -1/(1+x2). In this post, we will learn how to find the derivative of arc cotx. Question: What is the derivative of arc cotx? Answer: The derivative of arccotx is -1/(1+x2). Substitution Method: Let y = arc cotx. So we need to find dy/dx. Note that we have y … Read more